Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. tan x lim 15 元 2x- How should the given limit be evaluated? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A It is only possible to use l'Hôpital's Rule more than once to rewrite the limit in its final form as lim 52 O B. Multiply the expression by a unit fraction to obtain lim O C. It is possible to use l'Hôpital's Rule exactly once and rewrite the limit as lim () O D. Use direct substitution. Evaluate the limit. tan x lim (Type an exact answer.) 15 2x -T

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.**

\[ \lim_{{x \to \frac{\pi}{2}}} \left( \frac{\tan x}{\frac{15}{2x - \pi}} \right) \]

---

**How should the given limit be evaluated? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**

**A.** It is only possible to use l'Hôpital's Rule more than once to rewrite the limit in its final form as 

\[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \]

**B.** Multiply the expression by a unit fraction to obtain 

\[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \]

**C.** It is possible to use l'Hôpital's Rule exactly once and rewrite the limit as 

\[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \]

**D.** Use direct substitution.

---

**Evaluate the limit.**

\[ \lim_{{x \to \frac{\pi}{2}}} \left( \frac{\tan x}{\frac{15}{2x - \pi}} \right) = \boxed{\phantom{}} \](Type an exact answer.)
Transcribed Image Text:**Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.** \[ \lim_{{x \to \frac{\pi}{2}}} \left( \frac{\tan x}{\frac{15}{2x - \pi}} \right) \] --- **How should the given limit be evaluated? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.** **A.** It is only possible to use l'Hôpital's Rule more than once to rewrite the limit in its final form as \[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \] **B.** Multiply the expression by a unit fraction to obtain \[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \] **C.** It is possible to use l'Hôpital's Rule exactly once and rewrite the limit as \[ \lim_{{x \to \frac{\pi}{2}}} \left( \boxed{\phantom{}} \right). \] **D.** Use direct substitution. --- **Evaluate the limit.** \[ \lim_{{x \to \frac{\pi}{2}}} \left( \frac{\tan x}{\frac{15}{2x - \pi}} \right) = \boxed{\phantom{}} \](Type an exact answer.)
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