# calculus

posted by .

what happens when Limit as x approaches infinity

A) (sqrt(9+10x^2))/(7+9x)

• calculus -

Use l'hÃ´pital's rule or
divide top and bottom by x and take limits:
Lim (sqrt(9+10x^2)/x) / ((7+9x)/x)
x->∞
=Lim sqrt(9/x^2+10) / (7/x + 9)
x->∞
=sqrt(10)/9

## Similar Questions

1. ### calculus

what is the answer for the integral of (1/(xln(x)) from 1 to infinity?
2. ### Algebraic limits

The limit as x approaches infinity. (1)/(5^x) The limit as x approaches 1. (1-x^3)/(2-sqrt(x^2-3)) Show your work thanks in advance!
3. ### calculus

What is the limit of the function as x approaches infinity?
4. ### Calculus

Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x
5. ### Calculus

Find limit as x approaches 1 5/(x-1)^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?
6. ### Calculus

For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
7. ### Calculus

Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these
8. ### AP Calculus

For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
9. ### Calculus

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) limit n approaches infinity of an = e^(−6/sqrt(n))
10. ### Math

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

More Similar Questions