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Grade 11Differential Calculus

limx→∞(Π/2-tan-1x)1/x=

Profile image of ramya bhaskar
16 Years agoGrade 11
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear ramya

limx→∞(Π/2-tan-1x)1/x

or elimx→∞{ln(Π/2-tan-1x)}/x

or elimx→∞{ln(cot-1x)}/x

use L -hospital rule

elimx→∞{-(1+x2)^-1/2}/cot-1X

again use L-Hospital ruleand put limit

=e0

 =1

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