# rajkamalmath

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reputation
19
bio website none location India age 23 member for 1 year, 3 months seen Apr 8 at 22:28 profile views 90

Preparing for some competitive exams.

# 18 Questions

 9 How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$ 5 Find the value of the function at the given point. 3 Evaluate the limit of the integral of the sequence of function 3 Evaluate the limit $\lim_{n\to\infty}\left[n+{n^2}\log{\frac{n}{n+1}}\right]$ 2 Evaluate the limit $a_{n+1}=\lambda a_n^2(1-a_n)$

# 234 Reputation

 +5 check the convergence of the improper integral$\int_{0}^{1}\frac{x^{p-1}+x^{-p}}{1+x}\,dx$ +5 Evaluate the series +15 Evaluate the limit of the integral of the sequence of function +5 Evaluate the limit of the sequence.

 1 Modular arithmetic: confusion one the $mod$ operator. 0 Is the series $\sum_{n=1}^{\infty}\frac{(1+\frac{n}{\mathrm{e}})^n}{n\mathrm{!}}$ convergent?

# 14 Tags

 1 homework × 2 0 improper-integrals × 2 1 modular-arithmetic 0 convergence × 2 0 real-analysis × 14 0 taylor-expansion 0 sequences-and-series × 10 0 linear-algebra 0 analysis × 3 0 group-theory

# 1 Account

 Mathematics 234 rep 19