Homework Help

Determine limit `lim_(x->oo) ((cos (1/x))^x)^2`

xalal's profile pic

Posted via web

dislike 0 like

Determine limit `lim_(x->oo) ((cos (1/x))^x)^2`

1 Answer | Add Yours

justaguide's profile pic

Posted (Answer #1)

dislike 1 like

The limit `lim_(x->oo) ((cos (1/x))^x)^2` has to be determined.

`lim_(x->oo) ((cos (1/x))^x)^2`

`x -> oo => 1/x -> 0`

`lim_(x->oo) ((cos (1/x))^x)^2`

= `((cos 0)^oo)^2`

= `1^2`

= 1

The limit `lim_(x->oo) ((cos (1/x))^x)^2 = 1`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes