need help with math1141 calculus q's (1 Viewer)

[maths > english]

hey, can anyone help me with questions 4, 5, 6 & 8 of the attached file?

have the calculus test on monday

 

[gman03]

Question 4

 

[|Axis_]

Q6 is easy to type up:

i)
f(x) -> f(a) as x -> a

ii)
0 <= |f(x)| <= |x|
When x = 0, 0 <= |f(0)| <= 0
Thus f(0) = 0

lim 0 <= lim |f(x)| <= lim |x| as x -> 0
0 <= lim |f(x)| <= 0
Thus f(x) -> 0 = f(0) as x -> 0
so f is continuous at 0


check me