Consider the polynomial function

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

Problem

p(x)=3x^{2}-7x+4

. Answer the following questions. (i) Define continuity of a function at a point

x=a

. (ii) By directly referring to your definition in part (i), explain whether

p(x)

is continuous at

x=2

. (iii) Hence, state the value of

\displaystyle \lim_{x\to 2} p(x)