Asked by haifa
determine where f is continous. if possible extend f to a new function that is continous on a larger domain
1. f(x)=4x/x^2-1
2. x^2 tan x
i really dont understand how to solve these please help
1. f(x)=4x/x^2-1
2. x^2 tan x
i really dont understand how to solve these please help
Answers
Answered by
Steve
rational functions are continuous except where the denominator is zero, since division by zero is undefined.
So, 4x/(x^2-1) is discontinuous at x=±1
From your precal studies of trig, you know that tanx has asymptotes at all odd multiples of π/2/ So, x^2 tanx is discontinuous there as well.
So, 4x/(x^2-1) is discontinuous at x=±1
From your precal studies of trig, you know that tanx has asymptotes at all odd multiples of π/2/ So, x^2 tanx is discontinuous there as well.
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