- #1

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anybody knows how to solve this using L'hospital rule pls

(cot x) ^ sin2x with limi X to zero

(cot x) ^ sin2x with limi X to zero

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- Thread starter teng125
- Start date

- #1

- 416

- 0

anybody knows how to solve this using L'hospital rule pls

(cot x) ^ sin2x with limi X to zero

(cot x) ^ sin2x with limi X to zero

- #2

TD

Homework Helper

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[tex]f\left( x \right)^{g\left( x \right)} = e^{\ln \left( {f\left( x \right)^{g\left( x \right)} } \right)} = e^{g\left( x \right)\ln \left( {f\left( x \right)} \right)}[/tex]

So:

[tex]\mathop {\lim }\limits_{x \to 0} f\left( x \right)^{g\left( x \right)} = e^{\mathop {\lim }\limits_{x \to 0} \left( {g\left( x \right)\ln \left( {f\left( x \right)} \right)} \right)} [/tex]

Does this help you any further? Remember that for L'Hopital, you're trying to get 0/0 or ∞/∞.

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