Tuesday

October 21, 2014

October 21, 2014

Posted by **Ezra** on Monday, September 16, 2013 at 1:32pm.

I got 1 as an answer, but I want to check if that's right. I heard it could be something else so I'm unsure and doubtful of my answer.

- Calculus -
**Steve**, Monday, September 16, 2013 at 2:17pmtake derivatives, so the limit is

2/√(4u+1) / 1 = 2/3

- Calculus -
**Ezra**, Monday, September 16, 2013 at 2:22pmI did it by multiplying by the conjugate. I'm not sure of how to do it any other way. Can you explain how that works?

- Calculus -
**Steve**, Monday, September 16, 2013 at 2:28pmcheck your text for L'Hospital's (or L'Hôpital's) Rule. That is the usual tool used to evaluate limits when you have the form

0/0 or ∞/∞ or 0*∞

- Calculus -
**Reiny**, Monday, September 16, 2013 at 4:46pmIn most introductory Calculus courses, the study of limits precedes the concept of the derivative, since limits are used to develop the derivative by First Principles, so ...

using your idea of conjugates, .....

Lim ( √(4u+1) - 3)/(u-2) , u--->2

= Lim ( √(4u+1) - 3)/(u-2) * (√(4u+1) + 3))/ (√(4u+1) + 3)) , u--->2

= Lim ( 4u+1 - 9)/ ((√(4u+1) + 3))(u-2))

= lim 4(u-2)/ (√(4u+1) + 3))(x-2)

= lim 4/ (√(4u+1) + 3)) , as u--->2

= 4/6 = 2/3

**Answer this Question**

**Related Questions**

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

calculus - evaluate the ∫from square root of 2 to 2 1/x^3square root of x^...

Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...

algebra - 1)Write the expression 9n^6+7n^3-6 in quadratic form,if possible A.9(n...

Algebra - Use the quadratic formula to solve the equation. Give exact answers: ...

calculus verify answer - Evaluate the limit: Limit as x approaches 6 from the ...

calculus - 6. What is the derivative of y = square root of 3x ? a.dy/dx = square...

Math ~CHECK MY ANSWERS~ - 1) Which of these is a rational number? a. Pi b. ...

Algebra - 69: 16x^2+8x-3. I inserted this into the quadratic formula and got -8...

Math - What are the solution sets of the following 3 problems,the square root of...