Limits Involving trig functions

[temporaryinsanit]

How would I solve this limit:

lim 1 -cos (x) / sin² x
x?0

Thank you

 

[BigGlenntheHeavy]

\(\displaystyle \lim_{x\to0}\frac{1-cos(x)}{sin^{2}(x)} \ gives \ the \ indeterminate \ form \ \frac{0}{0}.\)

\(\displaystyle Sounds \ like \ a \ job \ for \ the \ Marqui.\)

 

[temporaryinsanit]

Since it gives the intermediate form does that mean I have to use L' Hoptials Rule

 

[BigGlenntheHeavy]

\(\displaystyle You \ can \ use \ whatever \ your \ heart \ desires, \as \ long \ as \ you \ come \ up \ with \ the \ correct \ answer.\)

 

[swaroop]

In limits whenever there is a form 0/0 or Inf/Inf, you need to apply l'hoptial rule. So need to diff oth numerator and denom and evaluate