Mathematics

Problem

Consider the function

h(x)= \begin{cases} \dfrac{x^{2}-c^{2}}{x-c}, & x<c,\\[4pt] m x+7, & x>c. \end{cases}

Find the values of

c

and

m

such that

\displaystyle\lim_{x\to c} h(x)

exists and equals

10