4) a) Find the limits of the following questions. (i) (ii) lim 1-2x x → 0 lim 5x 3 x → ∞ 7x³ + 8x2 (iii) lim x → 0 (iv) lim x 3 √16+ x - √16 x 2x² - 6x x-3 b) Is the function below, continuous as x tends to 5? f(x) = (2x - 6 (x²-3x x < 5 x 25 c) By trial and error, determine one value of x at which the function f(x) in part b) above is continuous. d) For what value of ß is the function C(q) = {B S Bq², continuous at q=2? 9≤2 9>2 00
4) a) Find the limits of the following questions. (i) (ii) lim 1-2x x → 0 lim 5x 3 x → ∞ 7x³ + 8x2 (iii) lim x → 0 (iv) lim x 3 √16+ x - √16 x 2x² - 6x x-3 b) Is the function below, continuous as x tends to 5? f(x) = (2x - 6 (x²-3x x < 5 x 25 c) By trial and error, determine one value of x at which the function f(x) in part b) above is continuous. d) For what value of ß is the function C(q) = {B S Bq², continuous at q=2? 9≤2 9>2 00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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Transcribed Image Text:4) a) Find the limits of the following questions.
(i)
lim 1
2x
x → 0
5x 3
x → ∞ 7x³ + 8x²
(ii)_lim
(iii) lim
x → 0
(iv) lim
-
x → 3
√16+ x- √16
2
2x4
-
X
x-3
f(x) =
6x
b) Is the function below, continuous as x tends to 5?
=
(2x-6
1x² – 3x
2
x < 5
x ≥ 5
c) By trial and error, determine one value of x at which the function f(x) in part b) above
is continuous.
Bq²,
+ 8,
d) For what value of ß is the function C(q) = {
continuous at q = 2?
9+
9≤2
9>2
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