# Calculus

Consider the function f(x)=sin(1/x)

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.

1. 👍 0
2. 👎 0
3. 👁 134
1. sin (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.

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### Calculus

Consider the function f(x)=sin(1/x) 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. How would I show the

asked by George on September 8, 2008
2. ### Calculus

Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1

asked by George on September 9, 2008
3. ### Calculus

Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1

asked by George on September 9, 2008
4. ### Calculus

Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1))

asked by Constantine on August 18, 2015
5. ### math

Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1

asked by Anonymous on August 3, 2007
6. ### math

I'm trying to find the convolution f*g where f(t)=g(t)=sin(t). I set up the integral and proceed to do integration by parts twice, but it keeps working out to 0=0 or sin(t)=sin(t). How am I supposed to approach it? integral

asked by chuck on December 3, 2009
7. ### MATH

1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the

asked by MAKITA on April 10, 2009
8. ### calculus

In electrical engineering, a continuous function like f(t)=sin(t), where t is in seconds, is referred to as an analog signal. To digitize the signal, we sample f(t) every ∆t seconds to form the sequence Sn= f(n∆t). For

asked by Sam on March 19, 2017
9. ### TRIG!

Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x +

asked by hayden on February 23, 2009
10. ### Math - Linear Approximation

a) Find a linear approximation of y=sinx at x=pi/6 b) use part (a) to approximate sin(61pi/360) and sin(59pi/360) I just really have no idea how to approach this problem. I know the formula is y=f(a)+f'(a)(x-a). Does that mean it

asked by Jamie on March 2, 2017

More Similar Questions