Tuesday

September 2, 2014

September 2, 2014

Posted by **Tom** on Sunday, June 17, 2012 at 10:32am.

lim cos(x + pi/2)/x

x->0

- Calculus -
**Reiny**, Sunday, June 17, 2012 at 12:29pmcos(x+pi/2)

= cosx cos pi/2 - sinx sin pi/2

= 0 - sinx

= -sinx

so

limit cos(x+pi/2)/x as x----> o

= lim -sinx/x , x ---> 0

= -1

using the fact that lim sinx/x = 1

**Answer this Question**

**Related Questions**

math - i need some serious help with limits in pre-calc. here are a few ...

Calculus, please check my answers! - 1. Evaluate: lim x->infinity(x^4-7x+9)/(...

Calculus help, please! - 1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0...

Calculus - Evaluate each limit. If it exists. a) Lim x^3 + 1 x->1 ------- x...

CALCULUS - need help! - Determine the limit of the trigonometric function (if it...

calculus - calculate the lim as x-> pi (cos(x)+1)/(x-pi) using the special ...

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

Calculus - Evaluate the following limit. lim e^(tanx) as x approaches the ...

Calculus - yes! tnk u ok? It's actually (x->0.) Find the limit of cot(x)-csc(...

Calculus - The area A of the region S that lies under the graph of the ...