5x esr lim 2x2 -7x+3

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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Compute the limit.
The image shows a mathematical expression representing a limit. Here is the transcription suitable for an educational website:

**Expression:**
\[
\lim_{{x \to \infty}} \frac{e^{5x}}{2x^2 - 7x + 3}
\]

**Description:**
This expression represents the limit of the function \( \frac{e^{5x}}{2x^2 - 7x + 3} \) as \( x \) approaches infinity. It involves an exponential function in the numerator and a quadratic polynomial in the denominator. As \( x \) goes to infinity, understanding the behavior of these terms can help determine the limit. Generally, exponential growth in the numerator will dominate polynomial growth in the denominator, suggesting that the limit will tend towards infinity.
Transcribed Image Text:The image shows a mathematical expression representing a limit. Here is the transcription suitable for an educational website: **Expression:** \[ \lim_{{x \to \infty}} \frac{e^{5x}}{2x^2 - 7x + 3} \] **Description:** This expression represents the limit of the function \( \frac{e^{5x}}{2x^2 - 7x + 3} \) as \( x \) approaches infinity. It involves an exponential function in the numerator and a quadratic polynomial in the denominator. As \( x \) goes to infinity, understanding the behavior of these terms can help determine the limit. Generally, exponential growth in the numerator will dominate polynomial growth in the denominator, suggesting that the limit will tend towards infinity.
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