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Question

Find the value of $a$ that ensures the function $h (x) = {\begin{matrix} \frac{\sin^{4} (2 x)}{x^{4}}, x \neq 0 \\ a, x = 0 \end{matrix}$ is continuous at $x equals 0$ .

Accepted Answer

Answer

Answer

Answer

Find the value of aa that ensures the function h(x)={sin4(2x)x4,x≠0a,x=0h\left(x\right)=\begin{cases}\frac{\sin^4\left(2x\right)}{x^4},x\ne0\\ a,x=0\end{cases} is continuous at x=0x=0.

Find the value of $a$ that ensures the function $h (x) = {\begin{matrix} \frac{\sin^{4} (2 x)}{x^{4}}, x \neq 0 \\ a, x = 0 \end{matrix}$ is continuous at $x equals 0$ .