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प्रश्न
Using L’Hospital’s Rule, evaluate: limx → 0 ( 1 + sin x )cot x
योग
उत्तर
`Lim_( x → 0) (1+sin x)^(cot x) = Lim_( x → 0 ) e^(sin x cot x)`
= `Lim_(x → 0 ) e^ ("sin"x". cos"x" )/(sin x)`
= `lim_(x → 0 )e^ cos x `
= e cos 0
= e.
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L' Hospital'S Theorem
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