Saturday

October 25, 2014

October 25, 2014

Posted by **Robert** on Friday, February 16, 2007 at 11:43am.

x->0

This reads:

The limits as x approaches zero is (1 plus x) to the 1 divided by x.

The log of each term is

(1/x) ln (1 + x) = ln (1+x)/x

Using L'Hopital's rule for the limit of

f(x)/g(x), the limit if the log is

lim f'/g' = lim [1/(1+x)]= 1

and the antilog of that is e. 2.71828...

**Answer this Question**

**Related Questions**

Calculus - We are doing limits in Calculus, but now we are doing trig limits too...

Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...

Maths Calculus Derivatives & Limits - Using the definition of the derivative ...

Maths (limits) - how do i evaluated these limits: lim x --> 3 ((square root ...

math - i need some serious help with limits in pre-calc. here are a few ...

Calculus - Following 2 questions are from a book at a point where L’Hopital’s ...

Calculus - Following 2 questions are from a book at a point where L’Hopital’s ...

Calculus - Determine the behavior of limits A. Limit as x approaches 1 of: (log...

Calculus (Limits) - If g(x) is continuous for all real numbers and g(3) = -1, g(...

Calculus - Evaluate the following limits. lim as x approaches infinity 6/e^x + 7...