Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

let f(x) = (x^2 + 1) / ( 1 - x^2) find each point of discontinuity of f, and for

ID: 3091219 • Letter: L

Question

let f(x) = (x^2 + 1) / ( 1 - x^2) find each point of discontinuity of f, and for each value ofthe point of discontinuity evaluate the one sided limits. Point 1 = -1 left handed f(x) = - infinity right handed f(x) = infinity Point 2 = 1 left handed f(x) = infinity right handed f(x) = -infinity Point 3 = ??? as limit x goes to c- f(x) = ??? as limit x goes to c+ f(x) = ??? What is the third point??? let f(x) = (x^2 + 1) / ( 1 - x^2) find each point of discontinuity of f, and for each value ofthe point of discontinuity evaluate the one sided limits. Point 1 = -1 left handed f(x) = - infinity right handed f(x) = infinity Point 2 = 1 left handed f(x) = infinity right handed f(x) = -infinity Point 3 = ??? as limit x goes to c- f(x) = ??? as limit x goes to c+ f(x) = ??? What is the third point???

Explanation / Answer

why do you think there is a third point?  the denominator (division by zero) is the source of discontinuities and you have taken care of 1 and -1