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Evaluate Lim X → 0 Sin X Log X . - Applied Mathematics 1

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Question

Evaluate `lim_(x->0) sinx log x.`

Sum

Solution

Let L = `lim_(x->0) sinx log x.`

L =`lim_(x->0) logx/(cosecx)`

L = `lim_(x->0) (1/x)/(-cosecx cotx)`……………………… (By L hospital)

L = `lim_(x->0)(-sinx tanx)/x`

L =`lim_(x->0)-tanx`

L = O

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nth Derivative of Standard Functions
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2018-2019 (December) CBCGS
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