The real valued function $f(x)=\frac{|x-a|}{x-a}$ is

If $f(x)=3 x^{15}-5 x^{10}+7 x^{5}+50 \cos (x-1)$, then $\lim\limits_{h \rightarrow 0} \frac{f(1-h)-f(1)}{h^{3}+3 h}$

If the function $f(x)=\left\{\begin{array}{cl}\frac{\left(e^{k x}-1\right) \sin k x}{4 \tan x} & x \neq 0 \\ P & x=0\end{array}\right.$ is differentiable at $x=0$, then

If Rolle's Theorem is applicable for the function $f(x)=\left\{\begin{array}{cl}x^{p} \log x, & x \neq 0 \\ 0, & x=0\end{array}\right.$ on the interval $[0,1]$, then a possible value of $p$ is