check the function is continuous or not

Question

lim x tends to 1 of function[(x+3x^2+5x^3+........+(2n-1)x^n)-n^2]/(x-1)

Answer 1

no...yu divide bi x-1, so at x=1, divide bi zero...no-no

Unless all that stuf on top become 1 as n become very big?????????

in fakt, 1+3+5+...(2n-1)=n^2...iit be arithmetik sequens

thus, at x=1, top become n^2-n^2=0

Then 0/0...NOT DEFINED

Yu kood make funk kontinyuus if yu add statement that define f(x)=1 at x=1