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+1 vote
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in Limit, continuity and differentiability by (52.6k points)

Let f(x) = [(((π/2 - sin-1(1 - {x}2))sin-1(1 - {x}))/(2({x} - {x}3)),; x ≠ 0), (π/2; x = 0) where {x} is the fractional part of x. Consider another function g(x); such that 

g(x) = f(x) ; x ≥ 

= 2.2f(x); x < 0

Discuss the continuity of the function f(x) & g(x)at x = 0.

 

1 Answer

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by (54.9k points)
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Best answer

RHL|x= 0 = lim(x→0+) f(x)

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