Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
Question 23 Find the following limit using L'Hopital's rule. e3x - 3x +2 lim- x0 sin²x 00 4.5 o Does Not Exist 1.5 → A Moving to another question will save this response.
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. X-00 --00 2x 6x + 2 Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X-00 A. 2x lim x-00 6x + 2 (Simplify your answer.) O B. The limit does not exist and is neither o nor -0.
sin Use the relation lim 00 = 1 to determine the limit of the given function. tan (4x) f(x) = х tan (4) lim x0 Х (Type an integer or a simplified fraction.)
3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If it does not exist, write DNE. lim (ax)2-12 Jax+b1 a. X- a b. lim X-00 5-4x V9x2+7 C. sin(2x) tan(6x) lim x0 x sin(3x) d. lim (e-* In(x)) x-00
Find the derivative of the following: f(x)=( Sinh(Sin-(x2)))3 оа. Select one: - 6X(Sinh(Sin-(x^))) Cosh(Sin-1(xº) √1-8" 3(Sinh(Sin-'(x2)))?Cosh(Sin-'(x2)) O b. 71-X 3(Sinh(Sin '(x2))) Cosh(Sin ?(X)) O c. 71-X 6XCosh(Sin-'(x?)) O d. V1-14
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
(18. a) Evaluate lim e sin (b) Evaluate lim x sin x 0 x (c) Illustrate parts (a) and (b) by graphing y = x sin(1/x).
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
sin (A-B) Given which of the following sin(A+B)' does the expression equal? Select one: a. O cot(A) – cot(B) cot(A) + cot(B) 1 + cot(A) cot(B) b. cot(A) + cot(B) sin(A) cos(B) - sin(B) cos(A) sin(A) cos(B) + cos(A) sin(B) sin(A) sin(B) – cos(A) cos(B) d. sin(A) sin(B) + cos(A) cos(B) C. O