Tuesday

September 30, 2014

September 30, 2014

Posted by **joc** on Tuesday, December 7, 2010 at 10:00am.

- calculus -
**MathMate**, Tuesday, December 7, 2010 at 10:13amI assume you mean

radical (9x²+x)-3x

Multiply top and bottom by the conjugate

[√(9x²+x)-3x]

=[√(9x²+x)-3x]*[√(9x²+x)+3x] / √[(9x²+x)+3x]

=(9x²+x-9x²)/[√(9x²+x)+3x]

=x/[√(9x²+x)+3x]

Now evaluate the limit as x->∞

Lim x/[√(9x²+x)+3x]

= x / 6x

= 1/6

**Answer this Question**

**Related Questions**

calculus - What is the limit of the function as x approaches infinity? 4x^4 - 4^...

calculus - what is the answer for the integral of (1/(xln(x)) from 1 to infinity...

Math-Calculus - Hi, I am trying to figure out what the limit as h approaches 0 ...

calculus - What is the limit of the function as x approaches infinity? (x^4 - 7x...

Calculus - Determine the behavior of limits A. Limit as x approaches 1 of: (log...

Calculus - What is the limit of the following equation? Limit as x approaches ...

Calculus - Find the limit as x approaches infinity of (lnx)^(1/x). This unit is ...

calculus - what is the limit of (9x/(9x+5))^(6x) as x approaches infinity?

Algebraic limits - The limit as x approaches infinity. (1)/(5^x) The limit as x ...

Calculus - Could someone please help me with these questions;I was having ...