Limits of Exponential and Logarithmic functions

You have learned how to evaluate limits of logarithmic functions and also studied how to find limits of exponential functions. Now, you are going to learn how to evaluate limits of functions in which both logarithmic and exponential functions are involved.

$(1)$ Evaluate $\displaystyle \large \lim_{x \,\to\, 1}{\normalsize \dfrac{x^x-1}{x\ln{x}}}$