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Sep
26
comment How to show that $\lim_{n\to\infty}\left\{f(c+\frac{1}{n^2})+f(c+\frac{2}{n^2})+\cdots+f(c+\frac{n}{n^2})-nf(c)\right\}=\frac{1}{2} f'(c)$
+1 really liked it. But only one question that's in my mind is after seeing your answer is that how can I develop myself think that way, or it's just practice. I think your suggestion will be very helpful to me. Thanks!
Sep
26
accepted How to show that $\lim_{n\to\infty}\left\{f(c+\frac{1}{n^2})+f(c+\frac{2}{n^2})+\cdots+f(c+\frac{n}{n^2})-nf(c)\right\}=\frac{1}{2} f'(c)$
Sep
26
comment How to show that $\lim_{n\to\infty}\left\{f(c+\frac{1}{n^2})+f(c+\frac{2}{n^2})+\cdots+f(c+\frac{n}{n^2})-nf(c)\right\}=\frac{1}{2} f'(c)$
:Thanks your hints helped
Sep
26
asked How to show that $\lim_{n\to\infty}\left\{f(c+\frac{1}{n^2})+f(c+\frac{2}{n^2})+\cdots+f(c+\frac{n}{n^2})-nf(c)\right\}=\frac{1}{2} f'(c)$
May
2
revised subideals of an ideal
previous answer was wrong
Apr
22
revised subideals of an ideal
added 4 characters in body
Apr
22
answered subideals of an ideal
Apr
16
awarded  Informed
Dec
18
awarded  Caucus
Jul
2
awarded  Curious
May
10
awarded  Nice Question
Mar
5
awarded  Critic
Mar
5
comment Definite Integrals involving indeterminate quantities like log 0
@5xum here it is $\frac{\infty}{\infty}$ form
Mar
5
comment Definite Integrals involving indeterminate quantities like log 0
@user133241 hint: Use L-Hospital rule.
Mar
5
awarded  Autobiographer
Jan
16
accepted Evaluate the series
Jan
15
comment Evaluate the limit of the integral of the sequence of function
@labbhattacharjee : so S=$\frac{1}{2}$, for that reason I have told limit is $\frac1{2}$. Thanks!
Jan
15
comment Evaluate the series
@DavidMitra Please give one more hint.
Jan
15
asked Evaluate the series
Jan
15
comment Evaluate the limit of the integral of the sequence of function
@lab bhattacharjee :Is the limit equal to 1/2