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

Question

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

Sum

Solution

$f (x) = 2 x^{2} - 1$

At x = 3,

$lim_{x \to 3} f (x) = lim_{x \to 3} (2 x^{2} - 1)$

$= 2 \times {(3)}^{2} - 1$

= 17

$f (3) = 2 \times {(3)}^{2} - 1 = 17$

$lim_{x \to 3} f (x) = f (3)$

Hence f is continuous at x = 3.

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Concept of Continuity

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Chapter 5: Continuity and Differentiability - Exercise 5.1 [Page 159]

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

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