1. (14pts) Circle whether the following limit is an “Indeterminate form” (I) or “Determinate form” (D) andstate the type of an inderterminate form (0, 1, 0 · 1, 1 1, 00, 10, and 11) if the limit is an indeterminate form. 0 1
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1. (14pts) Circle whether the following limit is an “Indeterminate form” (I) or “Determinate form” (D)...
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3...
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3 (f) lim(cos x)In | = 1 エ→0 1+ tanz1/sin z 1+ tanh r (b) lim = 1 -+0 nT nT (g) lim cos no0 +sin 6n+1 (c) lim (sin r)1/(2r-) - 1 エ→/2 = e 3n+1 2 + sin r 1 (h) lim 0. (d) lim エー→0 1 In (1 - V-1) - . 2 In(cos x) r+1+
40 Show the following results. 1-e2...
(3) (20 pts) Solve the following Limit that you first get indeterminate forn (a) tan-'x -...
(3) (20 pts) Solve the following Limit that you first get indeterminate forn (a) tan-'x - 7/2 lim (b) lim In(3x + 5e") In(7x + 3e21) Drag and drop your f
(Limit of functions) Let f : 2-» C be a function, and assume that D(a, r)...
(Limit of functions) Let f : 2-» C be a function, and assume that D(a, r) C Q. We say that lim f(z) L Ď(a, 6) we have |f(z) Ll < e. if for any e > 0 there exists 6 > 0, such that for any z e (a) State the negation of the assertion "lim^-,a f(z) = L". (b) Show that lim- f(z) L if and only if for any sequence zn -» a, with zn a for...
SUBJECT QUIZ 2 LECTURE # Classify each of the structures as statically determinate, statically indeterminate, or...
SUBJECT QUIZ 2 LECTURE # Classify each of the structures as statically determinate, statically indeterminate, or unstable. II indeterminate, specify the degree of indeterminacy. B O 3=30 ABVE Botically determinaler roller pistollera Suable and statica Octomirono V 1+2+1+2+3:9 r7 r-3n Tr>6 Stancolul indeterminoue Ist degree & STABLE 300/1st] Com Note: Determine internal determinacy indeterminacy 1 = 3 inteinas indetermine cu n=2 1. To old degrece 2 STABLE Y-
(B)(C)(D)(E)(G)(I)(J) 39 Write the Taylor expansion of function f order n at to given below. 1...
(B)(C)(D)(E)(G)(I)(J)
39 Write the Taylor expansion of function f order n at to given below. 1 (a) (g)2+v1+ I, n 2,ro - 0 n = 7, xo = 0 1 -2-3 (b) sin z cos(2x), (c) z In(2+3z), VI+I n= 3, To = 0 1 +e-1/ (h) 2+x n =5,xo= +o0 n= 3, ro = 1 T (i) cos (2r), n 4, xo= 6 (d) n = 7,xo = 0 COSI i) V+-VI3-, n 4, 1o =+00 (e) In(1+ arcsin(2r)),...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, cen...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and li...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
can someone help me solve this limit ? Consider the following. lim (1 + (1 +...
can someone help me solve this limit ?
Consider the following. lim (1 + (1 + ) X-01 (a) Describe the type of indeterminate form (if any) that is obtained by direct substitution. determinate (b) Evaluate the limit, using L'Hôpital's Rule if necessary. (c) Use a graphing utility to graph the function and verify the result obtained in part (b). 10 10 8 8 6 6 2 2 10 O O 10 10 8 8 6 6 у 4 4...
Find the following trigonometric limit: lim sin - Hint the substitution [((u-1)E)s01 u= t-n makes life...
Find the following trigonometric limit: lim sin - Hint the substitution [((u-1)E)s01 u= t-n makes life 1. tm easier. Work inside the [...] first and then take the sine of your result, that is, use the rule that allows you to take the limit inside the sine function: lim sin(f(x)) n(Hm/s) sin x-a 2. Use the results we derived in class for power functions to find the derivative of g(x) (3x4 + v 4 atx Ans 3. When a function...
hw help Question 1 For the following limit, choose the correct answer. x2 + 4x -...
hw help
Question 1 For the following limit, choose the correct answer. x2 + 4x - 7 lim X 00 e 4x + 6 Does L'Hospitals Rule apply to this problem? If so, why? No. Yes. Indeterminate form olo Yes. Indeterminate form For the following limit, choose the correct answer. x² + 4x - 7 lim e 4x + 6 After applying L'Hospital's Rule once, what will you get? 2x + 4 lim O 4 e4x + 6 x² lim...
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3 (f) lim(cos x)In | = 1 エ→0 1+ tanz1/sin z 1+ tanh r (b) lim = 1 -+0 nT nT (g) lim cos no0 +sin 6n+1 (c) lim (sin r)1/(2r-) - 1 エ→/2 = e 3n+1 2 + sin r 1 (h) lim 0. (d) lim エー→0 1 In (1 - V-1) - . 2 In(cos x) r+1+
40 Show the following results. 1-e2...
(3) (20 pts) Solve the following Limit that you first get indeterminate forn (a) tan-'x - 7/2 lim (b) lim In(3x + 5e") In(7x + 3e21) Drag and drop your f
(Limit of functions) Let f : 2-» C be a function, and assume that D(a, r) C Q. We say that lim f(z) L Ď(a, 6) we have |f(z) Ll < e. if for any e > 0 there exists 6 > 0, such that for any z e (a) State the negation of the assertion "lim^-,a f(z) = L". (b) Show that lim- f(z) L if and only if for any sequence zn -» a, with zn a for...
SUBJECT QUIZ 2 LECTURE # Classify each of the structures as statically determinate, statically indeterminate, or unstable. II indeterminate, specify the degree of indeterminacy. B O 3=30 ABVE Botically determinaler roller pistollera Suable and statica Octomirono V 1+2+1+2+3:9 r7 r-3n Tr>6 Stancolul indeterminoue Ist degree & STABLE 300/1st] Com Note: Determine internal determinacy indeterminacy 1 = 3 inteinas indetermine cu n=2 1. To old degrece 2 STABLE Y-
(B)(C)(D)(E)(G)(I)(J)
39 Write the Taylor expansion of function f order n at to given below. 1 (a) (g)2+v1+ I, n 2,ro - 0 n = 7, xo = 0 1 -2-3 (b) sin z cos(2x), (c) z In(2+3z), VI+I n= 3, To = 0 1 +e-1/ (h) 2+x n =5,xo= +o0 n= 3, ro = 1 T (i) cos (2r), n 4, xo= 6 (d) n = 7,xo = 0 COSI i) V+-VI3-, n 4, 1o =+00 (e) In(1+ arcsin(2r)),...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
can someone help me solve this limit ?
Consider the following. lim (1 + (1 + ) X-01 (a) Describe the type of indeterminate form (if any) that is obtained by direct substitution. determinate (b) Evaluate the limit, using L'Hôpital's Rule if necessary. (c) Use a graphing utility to graph the function and verify the result obtained in part (b). 10 10 8 8 6 6 2 2 10 O O 10 10 8 8 6 6 у 4 4...
Find the following trigonometric limit: lim sin - Hint the substitution [((u-1)E)s01 u= t-n makes life 1. tm easier. Work inside the [...] first and then take the sine of your result, that is, use the rule that allows you to take the limit inside the sine function: lim sin(f(x)) n(Hm/s) sin x-a 2. Use the results we derived in class for power functions to find the derivative of g(x) (3x4 + v 4 atx Ans 3. When a function...
hw help
Question 1 For the following limit, choose the correct answer. x2 + 4x - 7 lim X 00 e 4x + 6 Does L'Hospitals Rule apply to this problem? If so, why? No. Yes. Indeterminate form olo Yes. Indeterminate form For the following limit, choose the correct answer. x² + 4x - 7 lim e 4x + 6 After applying L'Hospital's Rule once, what will you get? 2x + 4 lim O 4 e4x + 6 x² lim...
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