1) The function f(x) = = { 2-1 In(x), x> 0; x 1 a, x = 1 is defined for all positive real numbers x. What value should a be set to in order to make the function continuous at x = 1?

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Give an example of an everywhere-continuous function h(r) that is differentiable at every real…

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Q: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

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Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

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Q: Let f (x) = 2x3 - 3x2 - 36x + 14. Also, let a = 0 and b = 1. (a) Show that the function f is…

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Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,