Q34 of 155 Page 9

If is continuous at x = 0, then find f(0).

Given:


f(x) is continuous at x = 0


If f(x) to be continuous at x = 0,then


f(0)– = f(0) + = f(0)


LHL = f(0)– =










= 1




⇒ 1


Hence,f(0) = 1


More from this chapter

All 155 →
32

If is continuous at x = 0, find k.

 33

Extend the definition of the following by continuity at the point x = π.

 35

Find the value of k for which is continuous at x = 0.

 36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0