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Limits And Derivatives
Suppose that and if , what are possible values of a and b?
L.H.L. = [∵ here x <1]Put x = 1-4, h>0 and h0∴ L.H.L = R.H.L. = [∵ here x > 1]Put x = 1-h, h>0 and h0∴ R.H.L = Also, f(1) = 4Now, a + b = 4 adn b - a = 4Adding these equations, we get 2b = 8 b = 4∴ a = 4 - b = 4 - 4 = 0Hence, a = 0, b = 4