f(x) ={x^2 + 25}/{25 - x^2}.
Find each point of discontinuity of f, and for each give the value of the point of discontinuity and evaluate the indicated one-sided limits.

Question

f(x) ={x^2 + 25}/{25 - x^2}.
Find each point of discontinuity of f, and for each give the value of the point of discontinuity and evaluate the indicated one-sided limits.

anonymous · Answer

As x approaches the the left and right of C 
Point 1: C =  

Point 2 C=

Point 3 C=

agent47 · Answer

The function is discontinuous when it simply does not exist, or when x = +/- 5

agent47 · Answer

why do I not see the third point...

anonymous · Answer

That's what the question asks for.

agent47 · Answer

yea, there are only two points of discontinuity.. x cannot be equal to +5 or -5, because you end up with a 0 in the denominator..

agent47 · Answer

@dumbcow

dumbcow · Answer

i agree with @Agent47

parthkohli · Answer

People cannot ever disagree with Bahrom!
(I agree too)

dumbcow · Answer

there are 2 asymptotes at 5 and -5 https://www.wolframalpha.com/input/?i=plot+%28x^2%2B25%29%2F%2825-x^2%29+from+-15+to+15