thanks Alec.

Can we find the exact value? May be interms of other constants?

thanks Alec.

Can we find the exact value? May be interms of other constants?

how to show that the functino is decreasing/increasing for particular values of m for all x > 1.

how to show that the functino is decreasing/increasing for particular values of m for all x > 1.

can u please further explain it

can u please further explain it

how did you get this result? I tried the command:

int(f(x),x=a..b)

without success.

regards,

how did you get this result? I tried the command:

int(f(x),x=a..b)

without success.

regards,

have i told you this before

you are my hero.

have i told you this before

you are my hero.

i think it should converge:

because:-

1. lim((1+1/n)^n-exp(1)) = 0

2. Terms are decreasing in nature.

3. ...

> evalf(sum((1+1/n)^(n+.5)-exp(1), n = 1 .. 10000));

0.218781338

i think it should converge:

because:-

1. lim((1+1/n)^n-exp(1)) = 0

2. Terms are decreasing in nature.

3. ...

> evalf(sum((1+1/n)^(n+.5)-exp(1), n = 1 .. 10000));

0.218781338

i appreciate your help.

May I know how did you approach this problem?

For example, what is the good stating point,...

thanks a lot

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i appreciate your help.

May I know how did you approach this problem?

For example, what is the good stating point,...

thanks a lot

---

i think the series would converge:

sum((1+1/n)^n - exp(1),n=1..infinity)

sum((1+1/n)^(n+0.5) -exp(1),n=1..infinity)