Question

Question 2: Examine the continuity of the function f (x) = 2x² – 1 at x = 3.

Class 12 - Math - Continuity and Differentiability

Answer 1

At x = 3

f(x) = f(3) = 2(3)²-1 = 17

Now lim x→3 f(x)
= lim x→3 2x²-1
= 2(3)²-1 = 17
therefore f(3) = lim x→3 f(x)
Hence function is continuous at x = 3

Answer 2

The given function is continuous at x=3.

It is because, f(3) = limx→3 f(x).

Refer to the attachment....


Hope helps....✌