Let `f(x)={{:(,sum_(r=0)^(x^(2)[(1)/(|x|)])r,x ne 0),(,k,x=0):}` where [.] denotes the greatest
Channel: Doubtnut
Date: 2020-05-17

Let `f(x)={{:(,sum_(r=0)^(x^(2)[(1)/(|x|)])r,x ne 0),(,k,x=0):}` where [.] denotes the greatest integer function. The value of k for which is continuous at x=0, is