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Mathematics
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Answer
1. f(x) =


(a) For x ∞
Using a tabular approach and choosing friendly but largely increasing values of x.
x
100
1000
10000
100000
f(x)
0.3996
0.39996
0.399996
0.3999996
From the table above we note that the value of f(x) is getting closer to 0.4.
Therefore as x ∞ , f(x) tends to the limit 0.4
(b) For x -
Using a tabular approach and choosing friendly but largely decreasing values of x
x
-100
-1000
-10000
f(x)
0.400394
0.40003994
0.400003999
From the above table we can comfortably deduce that f(x) is getting closer to 0.4.
Therefore as x - ∞ , f(x) tends to the limit 0.4
2. f(x) =





(a) Using tabular approach;
Let us consider x
x
10
100
1000
f(x)
2.18865867
2.19990769
2.001999991
Therefore as x , f(x) tends to the limit 2
(b) Using tabular approach
Let us consider x -
x
-10
-100
-1000
f(x)
1.806890299
1.9800008771
1.998000009
From the table we observe that f(x) is getting closer to 2.
Therefore as x - , f(x) tends to the limit 2.

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Answer 2𝑥−3 1. f(x) = 5𝑥−7 (a) For x ∞ Using a tabular approach and choosing friendly but largely increasing values of x. x f(x) 100 0.3996 1000 0.39996 10000 0.399996 100000 0.3999996 From the table above we note that the value of f(x) is getting closer to 0.4. Therefore as x ∞ ...
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