pbm with limits

can u explain mathematically for the non existence
of the following limits

lim x→∞cos(1/x)

lim x→∞(1)x

6 Answers

106
Asish Mahapatra ·

I would say the second one "limit exists" = 1

For first one, x → ∞ ==> 1/x → 0+ So the limit is 1 i think ??

Luks lyk ive to revise limits again

9
Celestine preetham ·

yes limits exist for both 1 and 2

3
msp ·

but it is given not exists in rsm.

106
Asish Mahapatra ·

wrong maybe

3
msp ·

it says dat for the lim x→∞cos(1/x) function doesnt have a unique tendency so limit wont exist.

9
Celestine preetham ·

its definitely wrong

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