Use Taylor series to evaluate the following limits. lim_{xrightarrow0}frac{sec x-cos x-x^2}{x^4} (Hint: text{The Maclaurin series for sec x is }1+frac{x^2}{2}+frac{5x^4}{24}+frac{61x^6}{720}+...)

Question

Use Taylor series to evaluate the following limits.

lim_{x \to 0} \frac{\sec x - \cos x - x^{2}}{x^{4}} (H i n t : The Maclaurin series for sec x is 1 + \frac{x^{2}}{2} + \frac{5 x^{4}}{24} + \frac{61 x^{6}}{720} + . . .)

Answer 1

SabadisO

Answered 2021-02-01 Author has 108 answers

Given that:

Let f(x) = lim_{x \to 0} \frac{\sec x - \cos x - x^{2}}{x^{4}}

Taylors

Answer 2

Jeffrey Jordon

Answered 2022-04-01 Author has 2047 answers

Answer is given below (on video)

Expert Answer