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Limit of (sec x - 1)/x^2 as x approaches 0

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\(\lim_{x\to 0} \frac{\sec x - 1}{x^{2}}\)

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What you need first

Derivatives of trigonometric functions
L'Hôpital's rule
Standard limit of tan(x)/x

What this problem tests

Tests the ability to recognize indeterminate forms, apply L'Hôpital's rule, and use known trigonometric limits.

This is a standard calculus problem testing the application of L'Hôpital's rule to trigonometric functions.

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