CBSE

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

Problem

Let

R(x)=\dfrac{x^{2}-9}{x+3}

. (i) Simplify

R(x)

wherever it is defined. (ii) Determine the domain of

R(x)

. (iii) Examine the continuity of

R(x)

x=-3

. Is the discontinuity, if any, removable? Justify your answer with suitable reasoning.