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
∴