Let f(x)=x+x2+⋯+xn−nx−1,x≠1, the value of f1 of that f is continuous is 

Let f(x)=x+x2++xnnx1,x1, the value of f1 of that f is continuous is

 

  1. A

    n

  2. B

    n+12

  3. C

    n(n+1)2

  4. D

    n(n1)2

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    Solution:

    f(1)=limx1x+x2++xnnx100 form 

    =limx11+2x++nxn11=1+2++n

    =n(n+1)2.

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