Limit of an exponent when it goes to infinity

RyozKidz
Messages
25
Reaction score
0
how this thing works ?

integration of e to the power of (-x) from 0 to infinity

sorry , not good in using the symbols ..^.^ ~
 
Physics news on Phys.org
Hi
Do you know what the primitive of e^{-x} is ?
 
First integrate it, then you get [-e-x] from 0 to infinity.

The key is to find the limit as x approaches infinity of (-e-x).

(Hint: Put in a very large negative value for x and see what you get.)
 
sorry ..~ i missed out the negative ..~
now i know already ..~ tq tq ...
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Prove that the limit as n->infinity of n^n/n! is infinity
Replies
7
Views
1K
Help calculating this limit please
Replies
5
Views
1K
Use Graph To Investigate Limit
Replies
10
Views
980
What is the difference in this limit?
Replies
10
Views
2K
Help Taking the Limit as K goes to infinity
Replies
14
Views
3K
Multivariable Limit Problem: Find Values of k That Make Limit Exist
Replies
9
Views
2K
Limit as x approaches infinity.
Replies
2
Views
2K
Limit Definition of Derivative as n Approaches Infinity
Replies
20
Views
2K
Proving limits for roots and exponents
Replies
13
Views
1K
Exercise on law of total expectation
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top