Friday

March 27, 2015

March 27, 2015

Posted by **George** on Monday, September 8, 2008 at 10:11pm.

Find a sequence of x-values that approach 0 such that

sin (1/x)=0

sin (1/x)=1

sin (1/x)=-1

Is sin sin (1/x)=0 and sin (1/x)=-1 does not exist.

What is sin (1/x)=1 then.

- Calculus -
**drwls**, Tuesday, September 9, 2008 at 12:23amsin (1/x) = 0 if 1/x = pi, which means x = 1/pi

sin (1/x) = 1 if 1/x = pi/2, which means x = 2/pi

sin (1/x ) = -1 if 1/x = 3 pi/2, which means x = 2/(3 pi)

I don't understand why the x values should approach zero, or what the rules of the sequence are.

**Answer this Question**

**Related Questions**

Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...

Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...

Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...

tigonometry - expres the following as sums and differences of sines or cosines ...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

algebra - Can someone please help me do this problem? That would be great! ...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

math - Eliminate the parameter (What does that mean?) and write a rectangular ...

Math - Calculus - The identity below is significant because it relates 3 ...

Public High School Pre Calculus HH - Ok I do not know how to do this problem. I ...