What is the limit as x approaches 0 of ${sin}^{2} (\frac{x}{x})$ $sin^2(x/x)$ ?

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What is the limit as x approaches 0 of ${sin}^{2} (\frac{x}{x})$ $sin^2(x/x)$ ?

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Answer 1 · 2018-04-12T03:31:09

${sin}^{2} (1) \approx 0.708$ $sin^2(1)~~0.708$

Explanation:

for all real x-values except 0, $\frac{x}{x} = 1$ $x/x=1$
as x approaches 0, ${sin}^{2} (\frac{x}{x})$ $sin^2(x/x)$ becomes ${sin}^{2} (1)$ $sin^2(1)$

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What is the limit as x approaches 0 of ${sin}^{2} (\frac{x}{x})$ $sin^2(x/x)$ ?

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