Solve the following problems. Use numpy and numpy arrays when possible.

Problem $1$: tanc function

Define the function

$tancx$:$=\frac{tanx}{x}$

as a Python function $tanc(x).$

Note that the function value at $x=0$ is well defined

$\underset{x0}{lim}tancx=1$

Your function should take this into account.

$2.$ Your function should behave like a numpy ufunc, i$.$e$.,$ it should be possible to use a numpy array as an argument and then it should return an array of the same size in which $tanc()$ was applied element$-$wise.

For example:Note: Getting $(2)$ to work is much harder than $(1).$ Try to get $(1)$ to work first $($the initial tests only test scalar arguments$).$