A function f is defined as follows: (px2 – 4, = {2x – 1, x< 3 | f(x) = 3 < x < 5 x > 5 8-x., (a) Given that the limit at x = 3 exists. Calculate the value of constant p. (b) Determine the existence of limit at x = 5

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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7. A function f is defined as follows:
(px² - 4,
f (x) = 2x - 1,
x< 3
|
3 < x < 5
x > 5
8 x.,
(a)
Given that the limit at x 3 exists. Calculate the value of constant p.
(b)
Determine the existence of limit at x = 5
Transcribed Image Text:7. A function f is defined as follows: (px² - 4, f (x) = 2x - 1, x< 3 | 3 < x < 5 x > 5 8 x., (a) Given that the limit at x 3 exists. Calculate the value of constant p. (b) Determine the existence of limit at x = 5
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