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# Examine the continuity of the function f(x) = 2 x^{2} − 1 at x = 3

**Solution:**

A function is said to be continuous when the graph of the function is a single unbroken curve.

The given function is

f(x) = 2 x^{2} − 1

At x = 3,

f(3) = 2(3)^{2} − 1

= 17

lim_{x→3} f(x) = lim_{x→3} (2 x^{2} − 1)

= 2(3^{2}) − 1 = 17

⇒ lim_{x→3} f(x) = f(3)

Therefore,

f is continous at x = 3

NCERT Solutions Class 12 Maths - Chapter 5 Exercise 5.1 Question 2

## Examine the continuity of the function f(x) = 2 x^{2} − 1 at x = 3

**Summary:**

The continuity of the function f(x) = 2 x^{2} − 1 at x = 3 is true.A function is said to be continuous when the graph of the function is a single unbroken curve

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