does a limit exist?

Calculus Level 3

Let n n be an integer, what is the limit as n n goes to infinity of c o s ( n ! π ) cos(n!π) ?

it doesn't exist 1 0 1/2

Sir isaac Newton by Sir isaac Newton , 65, Italy

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1 solution

Sir isaac Newton
Nov 10, 2017

being n ! n! a factorial it has to be even, so the angle is a multiple of 2 π 2π and thus the value of the cosine is 1.

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