Let . Examine the point…

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

g(x)=\dfrac{x^{2}-4}{x-2}

. Examine the point

x=2

. (i) Evaluate

\displaystyle\lim_{x\to2}g(x)

. (ii) What kind of discontinuity, if any, does

g

have at

x=2