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Finding Derivative of a Function

If limx→-1ax2...

Question

If $lim x \to - 1 (a x^{2} + b x + c) = 1$ where $a, b, c \in R,$ then which of the following is true

A

a - b + c = 1

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B

a + b + c = 1

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C

a + b - c = 1

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D

a + b + c + 1 = 0

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Solution

The correct option is A $a - b + c = 1$
$lim x \to - 1 (a x^{2} + b x + c) = 1$
To evaluate the limit of a polynomial function, we use direct substitution.
$\Rightarrow a (- 1)^{2} + b (- 1) + c = 1$
$\Rightarrow a - b + c = 1$

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Finding Derivative of a Function

Standard XII Mathematics

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