# calculus

posted by .

lim sqrt [(2+3x)/(1+5x)]
x--->infinity

I got no idea with how to do this one. Can anyone please teach me how to do it?????THANKS A LOT!!!

• calculus -

In this case the term within brackets becomes 3/5 in the limit as x -> infinity, and the square root of 3/5 is 0.774597..

You posted a similar question later but with a minus sign in front of the 5. That has an imaginary limit

## Similar Questions

1. ### calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to …
2. ### calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to …
3. ### calculus

lim sqrt [(2+3x)/(1-5x)] x--->infinity I got no idea with how to do this one. Can anyone please teach me how to do it?
4. ### BC Calculus

lim x ->infinity (e^x/lnx) I got infinity/0 but is that allowed to be my answer?
5. ### Math-Calculus

i have to questions that just need to be checked on to see if i got them right. Lim x-->infinity for both problems 10/x+10 is number one i got 0 for this one. or is it does not exist. lim x-->infinity 6x/6x+5 for this one I got …
6. ### Calc. Limits

Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity?
7. ### calc

Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity?