# Jibin Joy K

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bio website location Chennai, India age 19 member for 11 months seen 20 hours ago profile views 60

 11 Convergence of $\frac{\sqrt{a_{n}}}{n}$ 4 The $\sum\limits_{n = 1}^\infty {\frac{{\sin (\sqrt n )}}{{{n^{\frac{3}{2}}}}}}$ series is absolutely convergent? 3 Finding the limit of $\left(\frac{n}{n+1}\right)^n$ 1 Find $\lim_{x\to0}\frac{\sin5x}{\sin4x}$ using $\lim_{\theta\to0}\frac{\sin\theta}{\theta}=1$. 1 how to find this line integral and what is its answer

# 437 Reputation

 +10 Convergence of $\frac{\sqrt{a_{n}}}{n}$ +3 Two methods of finding a function $f$ such that $Mdx+Ndy=0$ on the curves $f(x,y)=c$ +10 Find $\lim_{x\to0}\frac{\sin5x}{\sin4x}$ using $\lim_{\theta\to0}\frac{\sin\theta}{\theta}=1$. +5 How to find $\int_0^{\pi}\frac{\sin n\theta}{\cos\theta-\cos\alpha}d\theta$

# 9 Questions

 3 How to find $\int_0^{\pi}\frac{\sin n\theta}{\cos\theta-\cos\alpha}d\theta$ 1 If integral is zero and function is continuous and non negative, then what about the function? [duplicate] 1 $\int_{-c}\mathbf{F}.\mathbf{dl}=-\int_{c}\mathbf{F}.\mathbf{dl}$-what is wrong here? 1 how to find existence and value of limit in multivariable calculus 1 proof of $\frac{\partial \frac{\partial f(x,y)}{\partial x}}{\partial y}=\frac{\partial \frac{\partial f(x,y)}{\partial y}}{\partial x}$

# 32 Tags

 17 sequences-and-series × 7 3 exponential-function 11 calculus × 20 1 integration × 6 5 real-analysis × 5 1 convergence × 2 5 divergent-series × 2 1 functions × 2 4 limits × 5 1 trigonometry

# 14 Accounts

 Mathematics 437 rep 112 Area 51 151 rep 1 Physics 121 rep 2 Electrical Engineering 103 rep 2 Stack Overflow 101 rep