Saturday

August 30, 2014

August 30, 2014

Posted by **Arthur** on Thursday, January 27, 2011 at 4:39pm.

(a)

3x3 + 9x2 + 9x + 3

x4 + x3 + x + 1

(b)

lim

x → −1

3x3 + 9x2 + 9x + 1

x4 + x3 + x + 1

- Math -
**Reiny**, Thursday, January 27, 2011 at 5:58pmdid you mean

3x^3 + 9x^2 + 9x + 3 ? If so, then

= 3(x+1)(x+1)(x+1)

x^4 + x^3 + x + 1

= x^3(x+1) + (x+1)

= (x+1)(x^3 + 1)

= (x+1)(x+1)(x^2 - x + 1)

so in your limit you would have

lim 3(x+1)^3 / ((x+1)^2(x^2 - x + 1) as x=-1

= lim 3(x+1)/(x^2 - x + 1)

= 0/3 = 0

**Related Questions**

calculus - The question I'm having problems with is If f(x)=3x^2+7x+2, find f'(4...

math,correction - Directions are: Perform the indicated division. Rationalize ...

Calculus - Hi! My question is: Given that f is a function defined by f(x) = (2x...

math plz help - Task 2: Use the table to complete each part. a. Copy the table. ...

Math - Consider the equation below. 1/5(x+2)+2x = 6x-10 Part A: Which property ...

physics - A 9.3 kg firework is launched straight up and at its maximum height 45...

Integration? - given that y=Ae^kx, where A and k are constants, find an ...

Math - (a) Find the number c such that the limit below exists. Limit as x goes ...

math - The region R, is bounded by the graphs of x = 5/3 y and the curve C given...

math - The region R, is bounded by the graphs of x = 5/3 y and the curve C given...