Saturday

April 19, 2014

April 19, 2014

Posted by **Zel** on Thursday, November 4, 2010 at 4:08pm.

(5x-3)/(ln(5+4e^(x))

x=inf

- calculus -
**Reiny**, Thursday, November 4, 2010 at 4:54pmIntuitive approach

for large values of x, the 5 of (5 + e^x) becomes insignificant , so for all practical purposes

we just have to look at ln(4e^x)

which is ln4 + lne^x

= ln4 + x

Also for very large values of x, the constant ln4 is relatively insignificant, so the denominator

approaches x for large values of x

Now look at the top.

Again for large values of x , the -3 becomes meanignless compared to the size of 5x

So for large values of x

our expression becomes

lim 5x/x as x ----> infinity

= 5

- calculus -
**liliane**, Monday, June 27, 2011 at 11:22am5x+2xa-6ab

**Related Questions**

Calculus - Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if ...

math pre calculus - Let A=(-2,INF] and B=(2,INF). FIND: a.)AUB b.)A (UPSIDE ...

calculus - f''(x) = (3x^3 - 5x^2 + 1) / x^2; and f(1) = 0, f(-1) = 1. So i turn ...

calculus help please - hi what is lim as x reaches one of the function x/LN(x) ...

Calculus - Find the limit as x approaches infinity of (lnx)^(1/x). This unit is ...

calculus - what is the answer for the integral of (1/(xln(x)) from 1 to infinity...

calculus - can someone please help me with these 3 questions: 1) Evaluate the ...

calculus - Find the value of the constant C that makes the following function ...

Calculus II - Hello! I have a problem on volumes but I am having trouble ...

Calculus II - y = *The Integral Of sin(4e^t)dt* a = 0 b = ln(2x) I'm supposed to...