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Show that every polynomial function is continuous.
Prove that every rational function is continuous.
Prove that the function defined by f(x) = tan x is a continuous function.
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Show that the function defined by f(x) = sin (x2) is a continuous function.
Show that the function f defined by f(x) = |1 – x + | x | |, where x is any real number, is a continuous function.
Discuss the continuity of the cosine, cosecant, secant and cotangent functions.
