limit....

lim sin[cos x]1+[cos x]
x→0

where [.] is GIF....

3 Answers

13
Avik ·

Lekin isme kya galat hai....?

Expand Cos(x) as → 1 -x2/2! + ----

Which wud give = 1/2*Sin(1)

1
Che ·

well i also firstly though it lik that....but u know wat.....x here is tending to 0...not 0....so x must hav some value which is in the neibourhood of 0 so x2/2 has some value

(we can ignore higher poers since they r tending to 0) so 1-x2/2 is always less than 1 weh x tends to infinity

so [1-x2/2....]=0

1
lalit ·

x→0 so cosx is slightly less then zero but not zero.
so [cosx] = 0
ans=0

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