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aryan bansal

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  • Kota, Rajasthan, India
  • Member for 1 year, 6 months
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  • Last seen Oct 12 '20 at 5:46

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8 Show that the polynomial $x^{8}-x^{7}+x^{2}-x+15$ has no real root. Jun 20 '20
4 Find the value of $I=\int_2^3{\frac{dx}{\sqrt{x^3-3x^2+5}}dx}$ Feb 10 '20
4 Evaluate $ \lim_{n\rightarrow \infty} \sum_{r= 0}^{n} \frac{r}{n^2+ r} $ Feb 11 '20
4 Solution to two non polynomial equation Jan 27 '20
4 What is the expectation of drawing balls from an urn with two black and two white balls and stopping when a black is drawn Jan 27 '20
3 How many ways can we select 3 elements from the multiset G = {A, B, B, C, C, C}? Jan 29 '20
3 Prove that $\sum_{k=0}^{\lfloor (n-1)/2 \rfloor} (-1)^k {n+1 \choose k} {2n-2k-1 \choose n} =\frac{ n(n+1)}2 $ Jan 5 '20
3 Number of one-to-one functions $f: \{1, 2, 3, 4, 5\} \to \{0, 1, 2, 3, 4, 5\}$ such that $f(1) \neq 0, 1$ and $f(i) \neq i$ for $i = 2, 3, 4, 5$ Jan 5 '20
3 Prove that $\left|\frac{x^3y^3}{9x^4+y^4}\right| \le \frac{x^2+y^2}{6}$ Jan 17 '20
3 Rearrangements of the monotonically increasing integer numbers $1, 2, 3, \dots, n$ Jan 18 '20
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