Evaluate the limit of (1 - e^x)/x as x approaches 0 using L'Hôpital's rule.

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Limit of (1 - e^x)/x as x approaches 0

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\(\lim_{x\to 0} \frac{1 - e^x}{x}\)

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What you need first

Evaluating limits by direct substitution
Recognizing indeterminate forms
L'Hôpital's rule
Derivatives of exponential functions

What this problem tests

Tests the ability to recognize indeterminate forms and correctly apply L'Hôpital's rule, including basic differentiation.

This is a standard introductory calculus problem demonstrating the use of L'Hôpital's rule for evaluating limits that result in the 0/0 indeterminate form.

Limit of (1 - e^x)/x as x approaches 0

What you need first

What this problem tests

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