Wednesday

August 27, 2014

August 27, 2014

Posted by **thomas** on Sunday, October 4, 2009 at 3:39pm.

2 - abs(x) / 2 + x

- calculus - limits -
**MathMate**, Sunday, October 4, 2009 at 3:58pmPlease be sure to enclose numerators and denominators in parentheses when transcribing fractions. The given expression does not equal to

(2-abs(x))/(2+x), which I will assume is the correct form.

f(x) = (2-abs(x))/(2+x)

is the same as

f(x)=(2-x)/(2+x) when x∈[0,∞)

f(x)=(2+x)/(2+x) when x∈(-∞,-2)∪(-2,0)

As x→-2,

f(x)=(2+x)/(2+x)

which equals 1 by long division.

Therefre

Lim x→-2 f(x) = 1

**Related Questions**

Absolute Value and Limits - solve for limits of 1+ and 1- for this function: (x^...

Calculus - Determine the limit of the trigonometric function: Limit as x ...

Calculus - Limit as x approaches 6: ((60-6x- abs(x^2-10x))/(abs(x^2-100)-64)

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

Calculus (Limits) - f(x) is a function differentiable at x=1 and f′(1)=1/...

Calculus. Limits. Check my answers, please! :) - 4. lim (tanx)= x->pi/3 -(...

Calculus; Limits - Evaluate limit, x -> a, [(x + 4a)^2 - 25a^2] / [x - a] My ...

Calculus - It says find the numbers, if any, at which the given function is ...

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

12th grade Calculus - It says find the numbers, if any, at which the given ...