find-the-value-of-aa-that-ensures-the-function-hxsin42xx4x0ax0hleftxrightbeginca

Question

Find the value of aa that ensures the function h(x)={sin⁡4(2x)x4,x≠0a,x=0h\left(xight)=\begin{cases}\frac{\$$sin^4$$\left(2xight)}{$$x^4$$},x
e0\ a,x=0\end{cases} is continuous at x=0x=0.

Accepted Answer

1616

Answer

22

Answer

44

Answer

88

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\(\ne\)0\\ 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 $x equals 0$ .