SOLUTION: Using the fact that lim x-->0 (sinx/x)=1 to find lim x-->0 ((1-cosx)/xsinx)) .

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Question 1182300: Using the fact that lim x-->0 (sinx/x)=1 to find lim x-->0 ((1-cosx)/xsinx)) .
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Using the fact that lim x-->0 (sinx/x)=1 to find lim x-->0 ((1-cosx)/xsinx))


That given limit is 1 and we can multiply anything by 1 without changing its
value



The product of limits equals the limit of products as long as they approach
the same number.



















The limit of a product equals the product of limits.



In the left parentheses, the limit of a square is a square of the limit.
On the right parentheses, we can substitute what x approaches as long as it
gives a defined value, (not 0/0):







      <-- answer

Edwin

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