1.

Giventhat prod_(n=1)^(n) cos ""(x)/(2^(n))=(sin x)/(2^(n) sin ((x)/(2^(n)))) and f(x) ={{:( lim_( n to oo) sum _( n=1) ^(n) (1)/(2^(n))tan((x)/(2^(n))), x in (0, pi)-{(pi)/(2)}),((2)/(pi),x=(pi)/(2)):} thenwhichoneof the followingistrue ?

Answer»

F(x)has NON- removablediscontinuityoffinite typeat `x=(PI)/(2).`
f(x)has removeabledisconinutyat `x=(pi)/(2)`
`f(x) ` is CONTINUOUS at `x=(pi)/(2)`
f(x) hasnon- removable discontinuousofinfintetypeat`x=(pi)/(2)` .

Answer :C


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