CBSE Class 11-science Answered
lim x(2^x-1)/(1-cosx)
x->0
Asked by Rohan Astik | 30 Apr, 2013, 04:05: PM
Expert Answer
lim x(2^x-1)/(1-cosx)
x->0
lim (x/2sin(x/2)^2 ) * [(2^x-1)/x] *x
x->0
lim (1/2)*4 ((x/2)^2/sin(x/2)^2 ) * [(2^x-1)/x]
x->0
= 2*1*ln2
= 2ln2
Answered by | 01 May, 2013, 07:26: PM
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