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Finding Derivative of a Function

If limx→33k+2...

Question

If $lim x \to 3 (3 k + 2 x^{2}) = 0,$ then $k$ is equal to

A

- 6

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B

6

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C

1

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D

- 1

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Solution

The correct option is A $- 6$
Given that $lim x \to 3 (3 k + 2 x^{2}) = 0$
To evaluate the limit of a polynomial function, use direct substitution.
$\Rightarrow 3 k + 2 \times (3)^{2} = 0$
$\Rightarrow k = - 6$

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Finding Derivative of a Function

Standard XII Mathematics

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