Differential Calculus
posted by Kristen .
use the rule that says
limit of (e^h  1)/h = 1 as h approaches 0
to show that the limit of [ln(x+h) lnx]/h as h approaches 0 = 1/x, where x>0
Respond to this Question
Similar Questions

Differential Calculus
use the rule that says limit of (e^h  1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h)lnx]/h as h approaches 0 = 1/x, where x>0 
calculus
use the rule that says limit of (e^h  1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h) lnx]/h as h approaches 0 = 1/x, where x>0 
Calculus
1. Use the Taylor series to calculate the limit. Problem: limit as x approaches 0 is equal to (1cos(x))/(1+xe^x). I did the problem out but I need help in seeing if its correct. limit as x approaches 0 is equal to (1cos(x))/(1+xe^x)= … 
Algebraic limits
The limit as x approaches infinity. (1)/(5^x) The limit as x approaches 1. (1x^3)/(2sqrt(x^23)) Show your work thanks in advance! 
Calculus
Could someone please help me with these questions;I was having trouble with these four questions. Evaluate each limit, if it exists, using any appropriate technique. 1.) The limit as u approaches 4; u^216/u^364 2.) The limit as x … 
calculus verify answer
Evaluate the limit: Limit as x approaches 6 from the right: Sq.root of (x  6). I know the limit is 0, but how do I show this? 
Calculus
Find the limit as x approaches infinity of (lnx)^(1/x). This unit is on L'Hopital's rule. I know that the answer is 1, I just don't know how to get there. I tried taking the ln of everything so that you have ln(the whole limit) = limx>infinity … 
Calculus
1. Evaluate the function at the given numbers (correct to six decimals places). Use the results to guess the value of the limit,or explain why it does not exist. F(t)=( t^(1/3)  1)/(t^(1/2)  1) ; t= 1.5,1.2,1.1,1.01,1.001; The limit … 
Calculus
Find limit as x approaches 1 5/(x1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)f(x)/h , will I get an x in the answer? 
Calculus
what is the limit as h approaches 0 of ((x+h)^pix^pi)/h?