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Find the value of c such that the function f(x) = { x^3 - 3x + 2, x < c; 4, x
Find the value of c such that the function f(x) = { x^3 - 3x + 2, x < c; 4, x = c; 2x - 1, x > c is continuous at x = c.
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Q1
Find the value of c such that the function f(x) = { x^3 - 3x + 2, x < c; 4, x = c; 2x - 1, x > c is continuous at x = c.
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Setting limit as x approaches c from left equal to 4 and from right gives c = 1.
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Q: Find the value of c such that the function f(x) = { x^3 - 3x + 2, x < c; 4, x = c; 2x - 1, x > c is continuous at x = c.
Solution:
Setting limit as x approaches c from left equal to 4 and from right gives c = 1.
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