Evaluate the limit lim x→5 x^2 −2x−15/ x^2 −25 Evaluate the limit lim x→∞ x^2 + x /x^5 c. Find all points on the graph of f(x) = 2x^3 −x where the tangent line is parallel to the line y = 149x + 7.
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
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
Evaluate lim,-_-4+ g(x). 1 1 for -5< x < -4 X + 1 g(x) = 22 for X > -4 1 16 The limit does not exist. 1 3 -4
(1 point) Evaluate the limit: lim (------) = = DNE X-4
evaluate the limit, if it exists.
#2
evaluate the limit, if it exists.
x 4 - 1 x-1 x3 + 3x2 - 4x lim - V1 + x - V1 - x lim x-0
Evaluate the following limit using Taylor series. -X- In (1 - x) lim x→0 106² - x - In (1 – X) lim (Simplify your answer.) x→0 1082
Use the given Maclaurin series to evaluate the limit.
x - ln (1 + x) lim x-0 ex - 1 - x
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
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