Suppose g(x) is a continuous function on (-∞, ∞). Which of the following is FALSE? The limit lim g(x) exists. x-5 sin(x) x→∞ |x|+|g(x)| The limit lim does NOT exist. The limit lim (g(x))² exists. x-0 lim (cos(x) 1)g(x) = 0. x-0 x The function 2+(())² is continuous at the point x = 0.

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Q: If f and g are continuous functions with f(5) = 2 and, lim[2f(z) - g(x)] =5 I5 find g(5)

A: Given: - f and g are continuous functions with f(5)=2 and limx→52f(x)-g(x)=5 We have to find g(5)=?