Q13 of 168 Page 30

If |x| < 1 and y = 1 + x + x2 + x3 + ….., then write the value of .

As |x| < 1


And y = 1+x+x2 +……. (this is an infinite G.P with common ratio x)


∵ |x|<1


∴ using the formula for sum of infinite G.P,we have–


y =


We know that f’(ax+b) = af’(x)


As


But here a = –1 and b = 1


∴


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