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$$ S_n = \left[ (n+1)(n+2)\cdots(n+n)\cdot \frac{1}{n^n} \right]^{\tfrac{1}{n}} $$
$$ \lim_{n \to \infty} S_n = \; ? $…
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Topic: DU MCA 2021
The equation $e^{x-8}+2x-17=0$ has _____real root(s),
Topic: DU MCA 2021
If
$$
f(x) =
\begin{cases}
\dfrac{1}{|x|}, & |x| > 2 \\
A + Bx^2, & |x| \leq 2
\end{cases}
$$
Then $f(x)$ is different…
Topic: DU MCA 2021
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Which of the following is false: (a) Every convergent positive series is convergent. (b) Every absolutely con…
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$G = U(98) = \{k \in \mathbb{N} : k \leq 98,\ \gcd(k,98)=1 \}$ be a group, where $\mathbb{N}$ is the set of all natural…
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Topic: DU MCA 2021
