Limits, Continuity and Differentiability PYQs - Last 5 Years
AP EAPCET / Mathematics / Calculus / 103 recent questions
MathematicsCalculus2021-2025
Practice 103 AP EAPCET 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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103 in last 5 years103 in last 10 years
Last 5 Years Limits, Continuity and Differentiability Questions
Showing 3 of 103 filtered questions.
1Limits Continuity And Differentiability
If \(f^{\prime \prime}(x)\) is continuous at \(x=0\) and \(f^{\prime \prime}(0)=4\), then find the following value.
\(\lim _\limits{x \rightarrow 0} \frac{2 f(x)-3 f(2 x)+f(4 x)}{x^2}\) is equal to
\(\lim _\limits{x \rightarrow 0} \frac{2 f(x)-3 f(2 x)+f(4 x)}{x^2}\) is equal to
MCQ+1 / -02021
2Limits Continuity And Differentiability
The value of \(k(k > 0)\), for which the function \(f(x)=\frac{\left(e^x-1\right)^4}{\sin \left(\frac{x^2}{k^2}\right) \log \left(1+\frac{x^2}{2}\right)}\), where \(x \neq 0\) and \(f(0)=8\)
MCQ+1 / -02021
3Limits Continuity And Differentiability
If $$f(x)=\left\{\begin{array}{cc}\frac{e^{\alpha x}-e^x-x}{x^2}, & x \neq 0 \\ \frac{3}{2}, & x=0\end{array}\right.$$
Find the value of \(\alpha\) for which the function \(f\) is continuous
Find the value of \(\alpha\) for which the function \(f\) is continuous
MCQ+1 / -02021