Consider the following functions: f(x) = 2x -1 g(x) = 2x h(x) = x² %3D IN %3D 1. Using any method you know so far, evaluate the following limits: a. lim (f – g)(x) b. lim (g – h)(x) *Note that all these are of the form 0 --

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ORO
ULE IN BASIC CALCULUS
2020-2021
ACTIVITY SHEET NO. 2
Consider the following functions:
f(x) 3 2x -1
S(x) = 2x
h(x)= x²
%3D
1. Using any method you know so far, evaluate the
following limits:
a. lim (f – g)(x)
b. lim (g – h)(x)
-
*Note that all these are of the form ∞ -- 0)
2. Using any method you know so far, evaluate the
following limits:
a. lim f/g)(x)
b. lim (g/h)(x)
c. lim (h/f)(x)
*(Note that all these are of the form /)
3. Can you see that the above limits are also of the form
(0)(∞) ? How?
Transcribed Image Text:ORO ULE IN BASIC CALCULUS 2020-2021 ACTIVITY SHEET NO. 2 Consider the following functions: f(x) 3 2x -1 S(x) = 2x h(x)= x² %3D 1. Using any method you know so far, evaluate the following limits: a. lim (f – g)(x) b. lim (g – h)(x) - *Note that all these are of the form ∞ -- 0) 2. Using any method you know so far, evaluate the following limits: a. lim f/g)(x) b. lim (g/h)(x) c. lim (h/f)(x) *(Note that all these are of the form /) 3. Can you see that the above limits are also of the form (0)(∞) ? How?
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