Find each limit, if possible. 1- 5x (a) lim 3 x* 3x + 2 dne 1 - 5x (b) lim x* 3x + 2 5 3 (c) lim 1- 5x2 x* 3x + 2 dne

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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Find each limit, if possible.

### Calculating Limits

The task is to find each limit, if possible.

#### (a) 
\[
\lim_{{x \to \infty}} \frac{{1 - 5x}}{{3x^3 + 2}}
\]
Result: **dne (does not exist)**

#### (b)
\[
\lim_{{x \to \infty}} \frac{{1 - 5x}}{{3x + 2}}
\]
Result: \(-\frac{5}{3}\) ✔

#### (c)
\[
\lim_{{x \to \infty}} \frac{{1 - 5x^2}}{{3x + 2}}
\]
Result: **dne (does not exist)**

The checkmarks indicate the correctness of the solution: ✔ for correct and ✘ for incorrect.
Transcribed Image Text:### Calculating Limits The task is to find each limit, if possible. #### (a) \[ \lim_{{x \to \infty}} \frac{{1 - 5x}}{{3x^3 + 2}} \] Result: **dne (does not exist)** #### (b) \[ \lim_{{x \to \infty}} \frac{{1 - 5x}}{{3x + 2}} \] Result: \(-\frac{5}{3}\) ✔ #### (c) \[ \lim_{{x \to \infty}} \frac{{1 - 5x^2}}{{3x + 2}} \] Result: **dne (does not exist)** The checkmarks indicate the correctness of the solution: ✔ for correct and ✘ for incorrect.
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