SOLUTION: Find lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2

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Question 1137967: Find lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2
Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!
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Apply L'Hopital's Rule

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Apply L'Hopital's Rule

=

=

Plug in the value :

=





Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Find lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2
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Use parentheses to make your question clear:
"lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2 " is

But you probably wanted this:
lim(-->0)

= lim(-->0)

This is 0/0 interderminate form, use L'Hospital's rule: lim(f(x)/g(x)) = lim(f'(x)/g'(x)):

= lim(-->0)

Still 0/0, apply L'Hospital's again:
= lim(-->0)

= 1/1 - 0/1 =

Here is a graph:


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