Straightforward limit problem =/

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In summary, the question is asking for the limit as x approaches 0 of sin x/x. The solution is to convert x to radians instead of degrees, as the question intended. This will result in an output of 1.
  • #1
Nano-Passion
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Homework Statement


lim as x --> 0 of sin x/x

Embarassingly simple but I'm doing something wrong in the calculation.


Homework Equations





The Attempt at a Solution



x = -.1 f(x)=.017453
x = -.01 f(x)=.017453
x = -.001 f(x)=.017453
x = .001 f(x)=.017453
x = .01 f(x)=.017453
x = .1 f(x)=.017453

I'm supposed to be getting output of digits ---> 1

=/ I plug it in the calculator but its not doing what I want it to do. What am I doing wrong? :blushing:
 
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  • #2
You are using the wrong units. If x is measured in degrees, then sin(x)/x --> pi/180 = 0.017453 as x --> 0. However, the question intended that x should be in *radians*.

RGV
 
  • #3
Ray Vickson said:
You are using the wrong units. If x is measured in degrees, then sin(x)/x --> pi/180 = 0.017453 as x --> 0. However, the question intended that x should be in *radians*.

RGV

Oh silly me, I had it in degree form. :x

Thank you. ^.^
 

FAQ: Straightforward limit problem =/

What is a straightforward limit problem?

A straightforward limit problem is a mathematical problem that involves finding the value of a limit, which is the value that a function approaches as its input approaches a certain value. In a straightforward limit problem, there are no complicated or unusual techniques required to find the limit, making it a relatively simple problem to solve.

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To solve a straightforward limit problem, you first need to determine the limit expression, which is the function that contains the limit. Then, you can use direct substitution, factoring, or other algebraic techniques to simplify the expression and evaluate the limit. If the limit is undefined, you may need to use L'Hopital's rule or other advanced techniques to find the limit.

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