1.

Let f and g be real-valued functions. If lim_(xto0)(2f(x)-g(x))/([(f(x)+7)]^(-2//3))=(7)/(4),lim_(xto0)f(x)=1andlim_(xto0)g(x)=alpha then h(x)={{:(sin(alphax),0lexle(pi)/(10)),(cos(2alphax),(pi)/(10)ltxle(pi)/(5)):} is

Answer»

continuous at `X=(pi)/(10)` only
discontinuous on `[0,(pi)/(5)]`
discontinuous at `x=(pi)/(10)`
continuous on `[0,(pi)/(5)]`

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