L'Hôpital's Rule
See how to solve the limit by using the L'Hôpital's rule.
2 examples and their solutions.
L'Hôpital's Rule
Rule
limx → af(x)g(x) = limx → af'(x)g'(x)
Use this formula to solve 0/0 form limit. Example
limx → 0sin 4xx
Solution limx → 0sin 4xx
= limx → 0(cos 4x)⋅41 - [1] [2]
= (cos 0)⋅41
= 1⋅41 - [3]
= 4
= limx → 0(cos 4x)⋅41 - [1] [2]
= (cos 0)⋅41
= 1⋅41 - [3]
= 4
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Example
limx → 0ex - 12x
Solution limx → 0ex - 12x
= limx → 0ex - 02 - [1] [2]
= limx → 0ex2
= e02
= 12 - [3]
= limx → 0ex - 02 - [1] [2]
= limx → 0ex2
= e02
= 12 - [3]
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