# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^4+4x^2+2x)/(x^2-2x)#?

There is a removable discontinuity at

Because the limit exists, the discontinuity is removable.

By signing up, you agree to our Terms of Service and Privacy Policy

The removable discontinuity of f(x) is at x = 0. There are no non-removable discontinuities.

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you evaluate #\lim _ { x \rightarrow - \infty } \frac { | x - 4| } { 2x }#?
- For what values of x, if any, does #f(x) = 1/((12x-9)sin(pi+(3pi)/x) # have vertical asymptotes?
- In the limit #lim_(x->1^-)1/(1-x^2)=oo#, how do you find #delta>0# such that whenever #1-delta<x<1#, #1/(1-x^2)>100#?
- In the limit #lim 10x=40# as #x->4#, how do you find #delta>0# such that whenever #0<abs(x-4)<delta#, #abs(10x-40)<0.01#?
- How do you evaluate the limit #((x+5)^2-25)/x# as x approaches #0#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7