How do you find if #f(x)=1/(x^2+1)# is continuous and which discontinuities are removable? Calculus Limits Classifying Topics of Discontinuity (removable vs. non-removable) 1 Answer Andrea S. Feb 22, 2017 #x^2+1# is continuous and #> 0 AA x in RR# so also #1/(x^2+1)# is continuous in all of #RR# Answer link Related questions How do you find discontinuity algebraically? How do you find discontinuity of a piecewise function? How do you find discontinuity points? How do you find the discontinuity of a function? How can you remove a discontinuity? How do i find discontinuity for a function? How do you find a removable discontinuity for a function? How do you find the discontinuity of a rational function? What does discontinuity mean? What does discontinuity mean in math? See all questions in Classifying Topics of Discontinuity (removable vs. non-removable) Impact of this question 4480 views around the world You can reuse this answer Creative Commons License