Limits, Continuity and Differentiability PYQs - Last 5 Years
TS EAMCET / Mathematics / Calculus / 59 recent questions
MathematicsCalculus2021-2025
Practice 59 TS EAMCET Mathematics questions from Limits, Continuity and Differentiability. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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2022-2025
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Last 5 Years Limits, Continuity and Differentiability Questions
Showing 9 of 59 filtered questions.
1Limits Continuity And Differentiability
\(\lim _{x \rightarrow 0} \frac{\tan 2 x-2 \tan x}{(1-\cos x)\left(2^x-1\right)}=\)
MCQ+1 / -02022
2Limits Continuity And Differentiability
If $x=\log _e\left(\cot \left(\frac{\pi}{4}+\theta\right)\right)$, then $\lim _{\theta \rightarrow 0} \frac{\theta}{(\sinh x)(\cosh x)}=$
MCQ+1 / -02022
3Limits Continuity And Differentiability
\(\mathop {\lim }\limits_{x \to 2}\left[\left(x^2-4 x+4\right) \cos \left(\frac{2}{x-2}\right)+\frac{x^2-4}{x^3-2 x-4}\right]=\)
MCQ+1 / -02022
4Limits Continuity And Differentiability
If $f(x)=\left\{\begin{array}{l}\frac{x^2-16}{x-4} \text { if } x>4 \\ 2 x \quad \text { if } x \leq 4\end{array}\right.$ then $f^{\prime}\left(4^{-}\right)+f^{\prime}\left(4^{+}\right)=$
MCQ+1 / -02022
5Limits Continuity And Differentiability
\(\lim _{x \rightarrow 0} \frac{2^{2 x}-2^{x+1}+2-\cos 2 x}{x^2}=\)
MCQ+1 / -02022
6Limits Continuity And Differentiability
\(\lim _{x \rightarrow 3^{-}} \frac{x^3-3 x^2-4 x+12}{2 x^3-7 x^2+2 x+3}=\)
MCQ+1 / -02022
7Limits Continuity And Differentiability
Let $f(x)=\left\{\begin{array}{ccc}3-x & \text { if } & x<-3 \\ 6 & \text { if } & -3 \leq x \leq 3 . \text { Let } \alpha \text { be the number } \\ 3+x & \text { if } & x>3\end{array}\right.$ of points of discontinuity of $f$ and $\beta$ ...
MCQ+1 / -02022
8Limits Continuity And Differentiability
\(\mathop {\lim }\limits_{x \to \infty } {x^3}\left[\sqrt{x^2+\sqrt{x^4+1}}-\sqrt{2 x}\right]=\)
MCQ+1 / -02022
9Limits Continuity And Differentiability
Let $A=\left(a_{i j}\right)$ be an $n \times n$ matrix defined by $a_{i j}=\left\{\begin{array}{cc}k^i, & \forall i=j \\ 0, & \text { otherwise }\end{array}\right.$. If $m=$ trace of $A$ and $\lim _{k \rightarrow 1} \frac{n-m}{1-k}=171$, th...
MCQ+1 / -02022