The value of c prescribed by Lagrange’s mean value theorem, when f(x)=x2-4  ,a=2 and  b=3 is

# The value of c prescribed by Lagrange's mean value theorem, when  and  is

1. A

2.5

2. B

$\sqrt{5}$

3. C

$\sqrt{3}$

4. D

$\sqrt{3}$ $+1$

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### Solution:

Clearly $f\left(x\right)=\sqrt{{x}^{2}-4}$ is continuous on  and

differentiable on (2, 3). So, by Lagrange's mean value

theorem there exists   such that

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