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Limit of sin(3x)/x as x approaches 0

Trigonometric and inverse trigonometric functions warmup

Calculate \( \lim_{x\to 0} \frac{\sin 3x}{x} \).
limittrigonometric-limitsinesubstitutionstandard-limitevaluate-limitcalculus-ialgebraic-manipulationindeterminate-form

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What this problem tests

Tests the ability to recognize an indeterminate form and algebraically manipulate an expression to apply a known standard limit.

This is a classic introductory calculus problem used to teach the application of the fundamental trigonometric limit.

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