Wednesday

August 27, 2014

August 27, 2014

Posted by **Reen** on Sunday, October 18, 2009 at 9:48am.

any help is appreciated =D

- calculus - limits -
**Reiny**, Sunday, October 18, 2009 at 10:34amI am going to use an intuitive approach

let theta = tan^-1 (x^2 - x^4)

or tan(theta) = x^2 - x^4

now as x---> ∞ the right side of the above equation ---> - ∞

I know that tan 90º or tan(pi/2) is undefined, but as I approach 90º or pi/2

the tangent value becomes infinitely large positively,

and the tangent of -90º or -pi/2 becomes -infinitely large.

so

limit tan^(-1) (x^2 - x^4) as x ---> ∞

= -pi/2

check:

set your calculator to radians

enter a huge number, multiply it by -1, then enter

2nd Tan

I got -1.570796 or - pi/2

**Related Questions**

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

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

Calculus - We are doing limits in Calculus, but now we are doing trig limits too...

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 - Beginning Calculus - Why does lim10^(3-x) as x approaches infinity = 0? ...

limiting position of the particle - A particle moves along the x axis so that ...

Calculus - Find the limit lim as x approaches (pi/2) e^(tanx) I have the answer ...

Limits - Find the limit of sin4x/(sqrt(x)) as it approaches positive infinity.

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