- #1
mathhelp09
- 2
- 0
hi,
So i have a few questions and i can't seem to wrap my head around it.
Q1
Decide which of the following functions has a removable discontinuity at a, and then if it is so..remove the discontinuity.
f(x)=3[x]; a=-1.
(I don't think there is a removable discontinuity because eventhough X is in a set bracket any values of x would not be undefined. Thats what i think anyway...if i am wrong can you please explain why?)
Q2
Find the number of discontinuity points of f(x)=[sinx] within the open interval (-2pi, 2pi).
(Isnt sinx always continous? therefore how can there be any discontinuity points?)
Q3
Find the set of all points at which the function f(x)=secx is continous?
(My answer is this: continuous at all points except x=pi/2 +kpi, where k is a constant. (is this right?))
Thank you so much too anyone that responds to this thread!
So i have a few questions and i can't seem to wrap my head around it.
Q1
Decide which of the following functions has a removable discontinuity at a, and then if it is so..remove the discontinuity.
f(x)=3[x]; a=-1.
(I don't think there is a removable discontinuity because eventhough X is in a set bracket any values of x would not be undefined. Thats what i think anyway...if i am wrong can you please explain why?)
Q2
Find the number of discontinuity points of f(x)=[sinx] within the open interval (-2pi, 2pi).
(Isnt sinx always continous? therefore how can there be any discontinuity points?)
Q3
Find the set of all points at which the function f(x)=secx is continous?
(My answer is this: continuous at all points except x=pi/2 +kpi, where k is a constant. (is this right?))
Thank you so much too anyone that responds to this thread!