# kalpeshmpopat

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bio website location Rajkot, India age 28 member for 1 year, 9 months seen Jun 27 at 10:37 profile views 664

I M a Mathematics Lecturer In MCA College In Rajkot

# 44 Questions

 31 Examples of nonabelian groups. 14 Calculate:$y'$ for $y = x^{x^{x^{x^{x^{.^{.^{.^{\infty}}}}}}}}$ and $y = \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+…\infty}}}}$ 9 Calculate: $\lim\limits_{x \to \infty}\left(\frac{x^2+2x+3}{x^2+x+1} \right)^x$ 7 If $f(x) = e^{-x}+2e^{-2x}+3e^{-3x}+\cdots$ then find $\int_{\ln2}^{\ln3}f(x)dx$ 7 Calculate:$\displaystyle \int 5^{x+1}e^{2x-1}dx$

# 1,245 Reputation

 +5 Interesting question on Graph Theory +10 Examples of nonabelian groups. +5 Evaluating $\int \frac{1}{{x^4+1}} dx$ -2 Understanding Lagrange's Theorem (Group Theory)

 4 Infinite powering by $i$ 3 Calculating $\lim_{x \rightarrow 1}(\frac{23}{1-x^{23}} - \frac{31}{1-x^{31}})$ 3 How to evaluate $I=\displaystyle\int_0^{\pi/2}x^2\ln(\sin x)\ln(\cos x)\ \mathrm dx$ 2 Need help with matrix multiplication: $(aI + bJ)(cI + dJ)$. 1 Prove that if $A \mathop \triangle B \subseteq A$ then $B\subseteq A$

# 33 Tags

 7 calculus × 26 1 integration × 18 7 limits × 16 1 differential-equations × 4 6 complex-numbers × 2 1 discrete-mathematics × 2 3 linear-algebra × 2 1 algebra-precalculus × 2 2 matrices 1 conic-sections

# 2 Accounts

 Mathematics 1,245 rep 522 TeX - LaTeX 101 rep 1