# Math

posted by .

limit as x approaches 9 of (8/(sqrt(x)-3)) - (48)(x-9)

• Math -

Check for type, I believe the question should read:
(8/(sqrt(x)-3)) - (48)/x-9)
=(8(sqrt(x)+3)/(x-9)- 48/(x-9) ... multiply top & bottom by sqrt(x)+3
=(8sqrt(x)-24)/(x-9)
=(8(1/2)/sqrt(x)) / 1 ... diff. top and bottom, de l'hÃ´pital's rule
=4/3

## Similar Questions

l = lim as x approaches 0 of x/(the square root of (1+x) - the square root of (1-x) decide whether: l=-1 or l=0 or l=1 Let me make sure I understand the question. Do we have lim x->0 x/[sqrt(1+x) - sqrt(1-x)] ?
2. ### Calculus

Find the limit Limit as h approaches 0 of : SqRt(4+h)-2 ____________ h by relating it to the derivative. (Indicate reasoning.)
3. ### 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!
4. ### Calculus

Could someone please help me with these questions;I was having trouble with these four questions. Evaluate each limit, if it exists, using any appropriate technique. 1.) The limit as u approaches 4; u^2-16/u^3-64 2.) The limit as x …
5. ### Calc

(sqrt(9x 5)-sqrt(68))/(x-7) limit as x approaches 7
6. ### Calc

Find the limit as x approaches zero from the right of ((sqrt((1+x)/(x^2))-(1/x)) I don't even know where to start with this. Help?
7. ### Calculus

1. Evaluate the function at the given numbers (correct to six decimals places). Use the results to guess the value of the limit,or explain why it does not exist. F(t)=( t^(1/3) - 1)/(t^(1/2) - 1) ; t= 1.5,1.2,1.1,1.01,1.001; The limit …
8. ### Calculus

Find limit as x approaches 0 [7x/(sqrt(x+4)-2)]
9. ### Math

Evaluate the following limit algebraically. lim (sqrt 4+x-2)/x x approaches 0
10. ### 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))

More Similar Questions