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Janet Forbes 2022-07-08 Answered
Limit as x 2 of cos ( π x ) x 2
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Answers (2)

Jayvion Mclaughlin
Answered 2022-07-09 Author has 14 answers
HINT:
cos π x = sin ( π 2 π x ) = sin π ( x 2 ) 2 x
Now set π ( x 2 ) 2 x = y and use lim h a sin ( h a ) h a = 1

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Jameson Lucero
Answered 2022-07-10 Author has 5 answers
Let 1 x = y then
lim x 2 cos ( π x ) x 2 = lim y 1 2 sin ( π 2 π y ) 1 y 2 = lim y 1 2 sin π ( 1 2 y ) π ( 1 2 y ) ( 1 2 y ) 1 2 y π y = π 4

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