Friday

April 18, 2014

April 18, 2014

Posted by **<3** on Friday, February 19, 2010 at 1:37am.

lim as x goes to +infinity x^(6/x)

- Calculus -
**drwls**, Friday, February 19, 2010 at 4:10amI will calculate the limit of the natural log instead. The limit of x^(6/x) will be e to that power of the limit of the log.

ln x^(6/x) = (6/x)ln x = lnx/(x/6)

As x-> infinity, that becomes the limit of 6/x, which is zero

If the log of the limit is zero, the limit itself is 1.

**Related Questions**

L'hospital rule - Evaluate the limit. lim (cos(x))^(7/x^2) as x goes x-->0^+

Calculus - I am maybe overthinking this, but what is the lim as n-> infinity ...

calculus - if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), ...

AP Calculus - if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), ...

Evaluating limits - Evaluate the limit. (If you need to use - or , enter -...

Calculus - L'Hospital's Rule Lim(lnx)^(x-1) x->1+ This is what I did so far...

calculus - Using L'Hôpital's rule, evaluate lim of xe^(-x) as x approaches ...

calculus - ratio test - infinity of the summation n=1: (e^n)/(n!) [using the ...

Calculus - ratio test - infinity of the summation n=1: (e^n)/(n!) [using the ...

calculus - ratio test - Posted by COFFEE on Sunday, July 29, 2007 at 6:32pm. ...