Class 12

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

Practice 1,452 free Class 12 Maths - 15. Limits, Continuity & Differentiability questions with answers and step-by-step solutions.

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Q1.

$\mathop {\lim }\limits_{x \to 0} \frac{{x({e^x} - 1)}}{{1 - \cos x}} =$

(A)

$0$

(B)

$\infty$

(C)

$-2$

(D)

$2$

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Q2.

If $f(x) = \begin{cases} x, & \text{when } 0 \le x \le 1 \\ 2 - x, & \text{when } 1 \lt x \le 2 \end{cases}$,then $\lim_{x \to 1} f(x) =$

(A)

$1$

(B)

$2$

(C)

$0$

(D)

Does not exist

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