Use rHopital's Rule to find the lim p8 - 2t + 115 lim R -t- 30 t--5 - 2t + 115 lim (Type an exact answer.) t--5 2-t-30

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Instruction for Educational Website**

---

**Objective:** Use l'Hôpital's Rule to find the limit.

**Problem Statement:**

\[
\lim_{{t \to 5}} \frac{{t^3 - 2t + 115}}{{t^2 - t - 30}}
\]

**Solution:**

Apply l'Hôpital's Rule:

\[
\lim_{{t \to 5}} \frac{{t^3 - 2t + 115}}{{t^2 - t - 30}} = \, \text{[Type an exact answer.]}
\]

**Note:** Ensure you correctly differentiate the numerator and the denominator before evaluating the limit again.
Transcribed Image Text:**Instruction for Educational Website** --- **Objective:** Use l'Hôpital's Rule to find the limit. **Problem Statement:** \[ \lim_{{t \to 5}} \frac{{t^3 - 2t + 115}}{{t^2 - t - 30}} \] **Solution:** Apply l'Hôpital's Rule: \[ \lim_{{t \to 5}} \frac{{t^3 - 2t + 115}}{{t^2 - t - 30}} = \, \text{[Type an exact answer.]} \] **Note:** Ensure you correctly differentiate the numerator and the denominator before evaluating the limit again.
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