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
xa x  a
(d) lim
h 0
(h) lim
10 x  9  1
x 1
(i) lim
6w 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.