SMTH011 TUTORIAL 1 2015
1. Evaluate the following limits
2. Tfearm7867
(a) lim (2 x 3x 4 x 5)
3
2
x 1
5x2 6 x 1
x 1
8x 4
(b) lim
(c) lim t 2 10
3
t 3
3
16 3h 4
1
1
(e) lim 5 h 5
h 0
h
(2 x 1)2 9
(f) lim
x 1
x 1
3
x a3
(g) lim
xa x a
(d) lim
h 0
(h) lim
10 x 9 1
x 1
(i) lim
6w 2
3 w 1
x 1
w 2
3
(j) lim
x 1
x 1
x 1
(k) Given
f ( x)
3 x 3
and x 0
x
(i)
Use a table of values of f (x ) to estimate the limit to four decimal places.
(ii)
Use the limit laws to find the exact value of the limit.
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