Let and . (a) Form the function and simplify your answer. (b) Calculate , showing all…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)=\frac{2x}{x-5}

and

g(x)=\frac{3}{x+5}

. (a) Form the function

h(x)=(f+g)(x)

and simplify your answer. (b) Calculate

\displaystyle \lim_{x\to 10} h(x)

, showing all necessary steps.