Limits and Derivatives is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.
This article gives you a full set of WBJEE PYQs for Limits and Derivatives with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Limits and Derivatives questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.
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WBJEE PYQs for Limits and Derivatives with Solutions
1.
$\displaystyle\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to- 1
- 0
- positive infinity
- does not exist
2.
Let $x_{n}=\left(1-\frac{1}{3}\right)^{2}\left(1-\frac{1}{6}\right)^{2}\left(1-\frac{1}{10}\right)^{2} ........ \left(1-\frac{1}{\frac{n\left(n+1\right)}{2}}\right)^2, n \ge 2.$ Then the value of $\displaystyle \lim_{n \to \infty} x_n$ is- 44564
- 44570
- Jan-81
- 0
3.
$\displaystyle\lim _{x \rightarrow 0} \frac{\pi^{x}-1}{\sqrt{1+x}-1}$- does not exist
- equals $\log_{e} \left(\pi^{2}\right)$
- equals $1$
- lies between $10$ and $11$
4.
It $\displaystyle \lim_{x \to 0}$$\frac{axe^{x}-b\, \log\left(1+x\right)}{x^{2}}=3$ then the values of $a, b$ are respectively- 44594
- 44563
- 44593
- 2, 0
5.
then is equal to- (A) π/6
- (B) 3
- (C) 2
- (D) 1
6.
Let f(x) = x3e–3x, x ^gt 0. Then the maximum value of f(x) is- (A) e–3
- (B) 3e–3
- (C) 27e–9
- (D) ∞
7.
If $f(5)=7$ and $f^{'}(5)=7$ then $\displaystyle\lim _{x \rightarrow 5} \frac{x f(5)-5 f(x)}{x-5}$ is given by- 35
- -35
- 28
- -28
8.
The sum of n terms of an AP is n2 + n; the common difference will be:- (A) n - 1
- (B) 1
- (C) 2
- (D) -4
9.
The limit of $ \sum\limits^{1000}_{ n-1} (-1)^n \, x^n $ as $x?8$- does not exist
- exists and equals to 0
- exists and approaches to $+\propto$
- exists and approaches $-8$
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