Exercise
$\lim_{x\to0}\left(\frac{sin\left(x\right)}{25.4\cdot x}\right)^{\frac{1}{x}}$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Find the limit of (sin(x)/(25.4x))^(1/x) as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(\frac{\sin\left(x\right)}{25.4x}\right). Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. The limit of a constant is just the constant.
Find the limit of (sin(x)/(25.4x))^(1/x) as x approaches 0
Final answer to the exercise
$1$