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Guest Message by DevFuse

nitinjain92

Member Since 28 Nov 2012
Offline Last Active Dec 17 2012 01:48 PM

In Topic: Limit derivation

28 November 2012 - 11:20 AM

lim x->∞ ( 1 - 1 / X )X

(can be written also as )

= lim x->∞ e( X . log( 1 - 1/X ) )
( expansion of log ( 1 - 1/X) ) is -1*( 1/x + 1/2x2 + 1/3x3 ..... so on)

put this in equation we get

= lim x->∞ e( -X *(1/x + 1/2x^2 + 1/3x^3 ..... so on ) )
=lim x->∞ e( -1 *(1 + 1/2x + 1/3x^2 ..... so on ) )
applying limit we get