1

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

Let $$f:[1,3] \to R$$ be continuous and be derivable in (1, 3) and $$f'(x) = {[f(x)]^2} + 4\forall x \in (1,3)$$. Then

2

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

f(x) is a differentiable function and given $$f'(2) = 6$$ and $$f'(1) = 4$$, then $$L = \mathop {\lim }\limits_{h \to 0} {{f(2 + 2h + {h^2}) - f(2)} \over {f(1 + h - {h^2}) - f(1)}}$$

3

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

Let $$f(x) = \left\{ {\matrix{ {x + 1,} & { - 1 \le x \le 0} \cr { - x,} & {0 < x \le 1} \cr } } \right.$$

4

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

Let $$f(x) = [{x^2}]\sin \pi x,x > 0$$. Then

Questions Asked from Limits, Continuity and Differentiability (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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