Limit as x->0, csc, cos HELP

  • #1

Homework Statement



lim as x-> 0

(xcsc2x)/(cos5x)


Homework Equations



lim as x-> 0 (sinx)/x = 1


The Attempt at a Solution



(x(1/sin2x)) / (cos5x)

Not sure what I am supposed to do here! Thanks
:)
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
14
Firstly, if this is true:

[tex]\lim_{x\rightarrow0} \frac{sin(x)}{x} = 1[/tex]

Then can you figure out what this limit is?

[tex]\lim_{x\rightarrow0} \frac{x}{sin(x)}[/tex]

And then if you use 2x instead of x, this limit should be just as easy:

[tex]\lim_{x\rightarrow0} \frac{2x}{sin(2x)}[/tex]
 

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