Question

examine the continuity of f(x) 2x2-1at x=3​

Answer 1

→

We have f(x)=2x

2

−1

At x=3,f(x)=f(3)=2(3)

2

−1=17

and

x→3

lim

f(x)=

x→3

lim

(2x

2

−1)=2(3)

2

−1=17

Clearly

x→3

lim

f(x)=f(3)

Thus, f is continuous at x=3