Discuss the continuity of the function f(x)= |x-a| sin(1/x-a) if x≠a and 0 if x=a. At x=a is continu

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Discuss the continuity of functions at the indicated point(s): f(x) = |x-a|sin(1/x-a), for x≠a & 0, Discuss the continuity of functions at the indicated point(s): f(x) = |x-a|sin(1/x-a), for x≠a & 0,
show that f(x) = |x-a| / x-a ,x≠a or = 1 , x=a is discontinuous at x=a. show that f(x) = |x-a| / x-a ,x≠a or = 1 , x=a is discontinuous at x=a.
`f(x) = {{:(|x|sin\\ (1)/(x-a),if x ne 0),(0, if x =a):}` at `x = a` `f(x) = {{:(|x|sin\\ (1)/(x-a),if x ne 0),(0, if x =a):}` at `x = a`
Discuss the continuity of functions at the indicated point(s): f(x)= (x-a)sin(1/x-a), x≠a ^ 0, x=a : Discuss the continuity of functions at the indicated point(s): f(x)= (x-a)sin(1/x-a), x≠a ^ 0, x=a :
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Test for continuity of the following function at `x = a`: f(x)={(x-, a) `sin(1/(x-a)`, where `x... Test for continuity of the following function at `x = a`: f(x)={(x-, a) `sin(1/(x-a)`, where `x...
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