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

Find the limit of this calculus problem.?

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

x=inf

- calculus -
**Reiny**, Thursday, November 4, 2010 at 4:54pm
Intuitive 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 11:22am
5x+2xa-6ab

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