Problem

Rank the functions in order of how quickly they a…

04:59

Problem 44 Hard Difficulty

Guess the value of the limit by considering the dominant terms in the numerator and denominator. Then use I'Hospital's Rule to confirm your guess.
$\lim _{x \rightarrow \infty} \frac{x^{2}-x+\ln x}{x+2^{x}}$

Answer

$\lim _{x \rightarrow \infty} \frac{x^{2}-x+\ln x}{x+2^{x}}=0$

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Calculus 1 / AB

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Chapter 4

Applications of Derivatives

Section 3

L'Hospital's Rule: Comparing Rates of Growth

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Video Transcript

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