[" 7.Consider "f(x)=lim(n rarr oo)(x^(n)...

[" 7.Consider "f(x)=lim_(n rarr oo)(x^(n)-sin x^(n))/(x^(n)+sin x^(n))" for "x>0,x!=1,f(1)=0" ,then "],[" (a) "f" is continuous at "x=1],[" (b) "f" has a finite discontinuity at "x=1],[" (c) "f" has an infinite or oscillatory discontinuity at "x=1],[" (d) "f" has a removal type of discontinuity at "x=1]

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