New Exam Prep
Shared by a Veda learner · Generated with Veda AI
What you'll study, topic by topic
New Exam Prep
Sample questions with model answers
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
$\lim_{x \to 0} \frac{(27+x)^{1/3}-3}{9-(27+x)^{2/3}}$ equal to $k$, then $|12k| = $ _________
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12
The full exam-length answer is in the app.
The value of $\lim_{x \to \infty} \frac{x}{x + \frac{x}{\sqrt[3]{x} + \frac{x}{\sqrt[3]{x} + \dots \infty}}}$ is _________
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1
The full exam-length answer is in the app.
$\lim_{x \to \infty} \frac{3\left[\frac{x}{4}\right]}{x} = \frac{p}{q}$ (where [.] denotes greatest integer function), then $p+q = $ _________ (where $p,q$ are relative prime) is _________
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7
The full exam-length answer is in the app.
$\lim_{x \to \frac{\pi}{2}} \frac{\sin\left(\frac{\pi}{2}-x\right)}{2\cos x - 1}$ is equal to $k$, then $4\sqrt{3}k = $ _________
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12
The full exam-length answer is in the app.
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