For parts a, b, c and d, use the following function: f(x) = e-5x a) (3 points) Write the Taylor polynomial of degree four for f(x) centered at 0. b) (2 points) Use the Taylor polynomial from part a to estimate the value of e-0.5. (Hint: let find x). c) (3 points) Write the series generated by f(x) at zero in sigma notation. d) (3 points) Find the radius of convergence and state the interval of convergence. d) (3 points)...
Find the limit. 4- 34 lim 1-0 Select one: a. oo b. 1 0 C. In 3 - In 4 O d. 0 0 e. None of these O f. In4- In 3
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) lim (f(x) 15) x--0 (c) x-0 x--0 lim fx)+lim 15)1/2 l (y 15)12( ( 15)1/2 A) (a) Difference Rule (b) Power Rule (c) Sum Rule B) (a) Quotient Rule C) (a) Quotient Rule D) (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule (b) Difference Rule, Power Rule (c)...
of 19 (0 complete) Evaluate the limit 5x² - 5y² lim xy)--(2-2) X+y Select the correct choice below and if necessary fill in the answer box to complete your choice 5x2 - 5y? ОА. lim xy--(2-2) x+y OB. The limit does not exist (Simplify your answer.) et points of R² is the following function continuous? 5 x, y) = x*(y² +81) ct the correct choice below and if necessary fill in the answer box to complete your choice 1. {(x,y)x+...
FIND THE LIMIT OF THE FUNCTION 1 1 lim x 3 X-3X-3 1 A) = 0 B) = c) II 3 9 D) = 0 1 E) = > =; 6) H)= Select one: a. A b.C C. G d. E e. H f. F g. D
MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2 r csc 2x x--o cos 5x 27. lim x + xcos r 29. lim MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2...
Let X be a continuous random variable with density f(x) = e?5x, x > b. Find b. A. (ln 5)=5 B. ?(ln 5)=5 C. e?5=5 quad D. 3 E. None of the preceding Let X be a continuous random variable with density f(x) = e-5x, x > b. Find b. A. (In 5)/5 B. — (In 5)/5 C. e-5/5 quad D. 3 E. none of the preceding
1. Suppose that lim x) = A, lim f(x) = B, 0) = C, where A, B, C are distinct real numbers. In each of the following, fill in the corresponding box by: • Expressing the limit in terms of A, B, C if it is possible to do so using the given information; • Writing DNE if it is possible to conclude that the limit does not exist using the given information; • Putting a X. otherwise. No explanation...
4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25 4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25