OpenStudy (anonymous):

Calculus Help!!! I have a few questions regarding non removable and removable discontinuities and continuous functions. The directions state, find the x-values (if any) at which f is discontinuous and state which are removable 1.) f(x)={-2x+3, x<1 {x^2, x> or equal to 1 The directions state, find the removable and non-removable discontinuities of each function algebraically 2.) h(t)= t^2-2t / t^4-16 I have a final question that states find the limit algebraically (if it exists) 3.) lim x->1/2 6x^2+x+1 /4x^2-4x-3 Would i just plug x in and solve for the limit?

4 years ago
OpenStudy (amistre64):

looks like piecewise and rationals ....

4 years ago
OpenStudy (amistre64):

since the parts of 1 are continuous in their own respect, where is the only place they may possibly disconnect at?

4 years ago
OpenStudy (amistre64):

2 is just factoring 3 is yeah, if x=1/2 doesnt create any bad maths like a /0 then sure. otherwise youd have to work it like #2 to see want factors out if anything

4 years ago
OpenStudy (anonymous):

Thanks for your help!

4 years ago
OpenStudy (amistre64):

yep

4 years ago