Evaluate the following limits: 3. $\lim_{x \to \frac{\pi}{2}} \frac{\sin 3x}{\sin 7x}$
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Step 1: Observe that sin t is continuous for all real t, so if sin(7x) is nonzero at x = π/2, the limit equals the quotient of the values: lim_{x->π/2} sin 3x / sin 7x = sin(3·π/2) / sin(7·π/2). Show more…
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