The least integer n for which `underset(x to 0)(lim)((cos x - 1) (cos x - e^(x)))/(x^(n))`

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The integer n for which lim _x → 0(cos x-1)(cos x-e^x)/x^n is a finite non-zero number, is (2002,... The integer n for which lim _x → 0(cos x-1)(cos x-e^x)/x^n is a finite non-zero number, is (2002,...
The integer n for which lim _x → 0(cos x-1)(cos x-e^x)/x^n is a finite non-zero number, is (a) 1 ... The integer n for which lim _x → 0(cos x-1)(cos x-e^x)/x^n is a finite non-zero number, is (a) 1 ...
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