Vault Of Euclid

Limit of (x^4 - 1)/(x - 1) as x approaches 1

Limits warmup

Evaluate the limit: \[ \lim_{x\to 1} \frac{x^{4}-1}{x-1} \]

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What you need first

Evaluating limits by direct substitution
Recognizing indeterminate forms
The power rule for derivatives

What this problem tests

Tests the ability to recognize a 0/0 indeterminate form and correctly apply L'Hôpital's rule by differentiating the numerator and denominator.

This is a standard introductory calculus problem demonstrating the application of L'Hôpital's rule to a simple rational function.

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