Question

find the limit x approach to 0 sin(x)^ sin(x)​

Answer 1

$heya \\ \\ \\ \\ \\ lim \: \: \: (f(x)) {}^{g(x)} = \: \: (f(x) - 1) \times g(x) \\ x - > 0 \\ \\ \\ \\ \\ lim \: \: \: \: \ e {}^{( \sin(x) - 1) \sin(x) } \\ x - > 0 \\ \\ \\ lim \: \: \: \: e {}^{ \sin {}^{2} ( x) - \sin(x) } \\ x - > 0 \\ \\ \\ = e {}^{0 - 0} \\ \\ = e {}^{0} \\ \\ \\ = 1$