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Question
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 0) (1 - cosx)/x^2`
Solution
`lim_(x -> 0) (1 - cosx)/x^2`
`[because 1 - cos0/0 = (1 - 1)/0 = 0/0 "Indeterninate forms"]`
Applying L' Hôpital's rule,
= `lim_(x -> 0) sinx/(2x)` .......`[0/0 "form"]`
Applying L' Hôpital's rule,
= `lim_(x -> 0) cosx/2`
= `cos0/2`
= `1/2`
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