Help with differential calculus please you guys!

Question

anonymous · Answer

I don't know how to do part (ii) and (iii) :(

amistre64 · Answer

what is your definition of continuous?

anonymous · Answer

it never ends?

amistre64 · Answer

thats not the definition of continuous,  thats more of a definition for infinity

anonymous · Answer

um i don't know then...

amistre64 · Answer

your material defines continuous someplace in it ... and the question wants you to apply that definition.

anonymous · Answer

i don't know what to do though, like at all..

amistre64 · Answer

well, me either since i dont have your material ..... im not sure if a calculus definition is apt to your course.

amistre64 · Answer

we can have functions that are real valued but not continuous on an interval ... so saying that the f(x) is defined for all x in an interval is meaningless when defining continuity

amistre64 · Answer

is this algebra course or calculus?

anonymous · Answer

calculus

amistre64 · Answer

oh, then continuity has most definently been defined in your materials

amistre64 · Answer

3 conditions must exist

1) for every x in I, f(x) is deifned

2)  the limit of f(x) as x approaches c exists

3) the limit of f(x) as x approaches c is f(c)

amistre64 · Answer

with some thought, all these conditions hold for your defined f(x)