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[" EXAMPLE 3The integer n for which "],[...

[" EXAMPLE 3The integer n for which "],[qquad lim_(x rarr0)((cos x-1)(cos x-e^(x)))/(x^(n))" is a finite non-zero number,"i" s "]

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The integer n for which lim_(x rarr 0) ((cos x - 1)(cos x - e^(x)))/(x^(n)) is a finite non-zero number is :

The integer n for which lim_(x rarr0)((cos x-1)(cos x-e^(x)))/(x^(n)) is a finite non- zero number is:

lim_(x rarr0)(cos x-1)/(x)

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