Advertisements
Advertisements
Question
निम्नलिखित सीमा का मान प्राप्त कीजिए:
`lim_(x -> 0) (cos 2x -1)/(cos x - 1)`
Sum
Advertisements
Solution
`lim_(x → 0) (cos 2x - 1)/(cos x - 1)`
= `lim_(x → 0) (1 - 2 sin^2 x - 1)/(cosx - 1)`
= `lim_(x → 0) (2sin^2 x)/(1 - cosx)`
= `lim_(x → 0) (2(1 - cosx)(1 + cosx))/(1 - cosx)`
= `lim_(x → 0) 2(1 + cosx)`
= 2(1 + cos 0)
= 2 × 2
= 4
shaalaa.com
अवकलजों का सहजानुभूत बोध
Is there an error in this question or solution?
