f is continuous at `x = 3` but not at `x = 2` The function `f(x) = |2 s g n 2 x| + 2` has

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If `f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5` where [.] denotes the If `f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5` where [.] denotes the
Is the function continuous? Is the function continuous?
47. Suppose f and g are continuous functions such that g(2)=6 and (lim)(x→2)[3f(x)+f(x)g(x)]=36. 47. Suppose f and g are continuous functions such that g(2)=6 and (lim)(x→2)[3f(x)+f(x)g(x)]=36.
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Check differentiability of `f(x)=s g n(x^(2/3))+[cos((x^2)/(1+x^2))]+|x-1|^(5/3)` in [-2,2] wh Check differentiability of `f(x)=s g n(x^(2/3))+[cos((x^2)/(1+x^2))]+|x-1|^(5/3)` in [-2,2] wh