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

## Answer This Question

## Related Questions

- calculus question ? - I just can't wrap my head around this. I don't know if ...
- math pre calculus - Let A=(-2,INF] and B=(2,INF). FIND: a.)AUB b.)A (UPSIDE ...
- calculus - Find the value of the constant C that makes the following function ...
- Calculus - Find the open intervals on which f(x) = -6x^2 + 96x + 7 is increasing...
- Calculus - Suppose that f(x), f'(x), and f''(x) are continuous for all real ...
- LIMITS CALCULUS - lim (cubic root (7+x^2-8x^3)/(x^3-x+pi)) x--> +inf I don't ...
- calculus - Evaluate these limits. (Enter answer as a decimal. Enter INF if the ...
- Calculus ( finding limits) - Find the limit as x-->-inf (x+2)^(3/2)+1...
- Calculus - Calculus Limit Problem: Evaluate the function at the given numbers (...
- CALCULUS - 6. f(x)= 12x^5 + 30x^4 - 160x^3 +4 For this function there are four ...

More Related Questions