Ma 113 Functions And Inverse Functions, The Exponential Function And The Logarithm Worksheet Page 6
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412
2
(a) lim
(2f (x)
g(x))
(d) lim
f (x)
+ x g(x)
x
2
x
2
(b) lim
(f (x)g(2))
(e) lim
[f (x)]
x
2
x
2
f (x)
5
f (x)g(x)
(f) lim
(c) lim
g(x)
2
x
2
x
x
2
2x + 2 if x >
2
8. Let f (x) =
. Find k and a so that lim
f (x) = f ( 2).
a
if x =
2
x
2
kx
if x <
2
9. In the theory of relativity, the mass of a particle with velocity v is:
m
0
m =
2
v
1
2
c
where m
is the mass of the particle at rest and c is the speed of light. What happens as v
c ?
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