## Limits

Limits, differentiation, related rates, integration, trig integrals, etc.
Rico.
Posts: 4
Joined: Tue Feb 05, 2013 4:02 am
Contact:

### Limits

I can't solve this problem: 3/ (x - 2). For what values of x is |f(x) -4| < or = to 0.005?

nona.m.nona
Posts: 288
Joined: Sun Dec 14, 2008 11:07 pm
Contact:

### Re: Limits

I can't solve this problem: 3/ (x - 2).
What do you mean by "solving" this expression?
For what values of x is |f(x) -4| < or = to 0.005?
What is the formula for f(x)?

Rico.
Posts: 4
Joined: Tue Feb 05, 2013 4:02 am
Contact:

### Re: Limits

The problem is to solve for what values of x is |f(x)-4| < or = to 0.05. f(x)= 3x/ (x-4)

nona.m.nona
Posts: 288
Joined: Sun Dec 14, 2008 11:07 pm
Contact:

### Re: Limits

The problem is to solve for what values of x is |f(x)-4| < or = to 0.05. f(x)= 3x/ (x-4)
This topic should have been covered when you were studying pre-calculus algebra. The statement converts as follows:

. . .$|f(x)\, -\, 4|\, \leq\, 0.05$

. . .$-0.05\, \leq\, \frac{3x}{x\, -\, 4}\, -\, 4\, \leq\, 0.05$

. . .$3.95\, \leq\, \frac{3x}{x\, -\, 4}\, \leq\, 4.05$

Then solve the two cases: where x - 4 < 0 and where x - 4 > 0. You may find this article to be instructive.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 3, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}