Let be a function whose graph coincides with the straight line at every point except

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

Problem

Let

h

be a function whose graph coincides with the straight line

y=2x+1

at every point except

x=2

. At

x=2

, the graph shows only the single plotted point

(2,5)

. (i)

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

(ii)

h(2)

(iii) Comparison of the two values