## 400 Reputation

16 years, 252 days

## thanks Alec.   Can we...

thanks Alec.

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

## thanks Alec.   Can we...

thanks Alec.

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

## how to show that the...

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

## how to show that the...

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...

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

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

without success.

regards,

## how did you get this...

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

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

without success.

regards,

## have i told you this...

have i told you this before

you are my hero.

## have i told you this...

have i told you this before

you are my hero.

## i think it should...

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...

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

## thanks...

May I know how did you approach this problem?

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

thanks a lot

---

## thanks...

May I know how did you approach this problem?

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

thanks a lot

---

## why would this series diverge?...

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)

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