MHT-CET

15. Limits, Continuity & Differentiability question bank (Mathematics)

Practice 103 free MHT-CET Mathematics - 15. Limits, Continuity & Differentiability questions with answers and step-by-step solutions.

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Q1.

Evaluate the limit: $\lim_{x \to 0} \left[ \frac{\log |2 + x| - \log |2 - x|}{\tan x} \right]$

(A)

$2$

(B)

$0$

(C)

$1$

(D)

$1/2$

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Q2.

If $\lim_{x \to 1} \frac{\sin(3x^2 - 4x + 1) - x^2 + 1}{2x^3 - 7x^2 + ax + b} = -2$, then the quadratic equation having roots $a$ and $b$ is

(A)

$x^2 + 5x - 24 = 0$

(B)

$x^2 - 5x + 24 = 0$

(C)

$x^2 - 5x - 24 = 0$

(D)

$x^2 + 5x + 24 = 0$

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