# Answer on Calculus Question for hsd

Question #15423

show that the function:

f(x) = { [x-2] [3 + sin(1/x-2)]/[1 + x^2] , if x ≠ 2,

{ 0 , if x = 2.

is continuous at x = 2.

f(x) = { [x-2] [3 + sin(1/x-2)]/[1 + x^2] , if x ≠ 2,

{ 0 , if x = 2.

is continuous at x = 2.

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