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Determine the value of p for which the function f(x) = { x^2 + p, x < 0; 1, x
Determine the value of p for which the function f(x) = { x^2 + p, x < 0; 1, x = 0; 2x + p, x > 0 is continuous at x = 0.
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Q1
Determine the value of p for which the function f(x) = { x^2 + p, x < 0; 1, x = 0; 2x + p, x > 0 is continuous at x = 0.
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Setting p = 1 for continuity at x = 0 gives f(0) = 1.
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Q: Determine the value of p for which the function f(x) = { x^2 + p, x < 0; 1, x = 0; 2x + p, x > 0 is continuous at x = 0.
Solution:
Setting p = 1 for continuity at x = 0 gives f(0) = 1.
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