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Group 8 ... 11. Determine the value of the limit and the function as x approaches the given point. 11.1 f(x) = 2x, x 3,

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Group 8 ... 11. Determine the value of the limit and the function as x approaches the given point. 11.1 f(x) = 2x, x 3, and f(3) = -3 as x - 3 11.2 f(x) = (x + 1) / (x1/3 + 1) as x -> -1 11.3 f(x) = V(9x2 + 5) / 2x as x - +00 11.4 f(x) = 15 - x| / (x - 5) as x - 5 11.5 f(x) = 3x + 4, x 1, as x -> 1 Group 9 ... 12. Answer the following. 12.1 Using the difference quotient, i.e., limit (f(x + h) - f(x))/h, as h -> 0, determine the derivative for f(x) = 1/(x + 1), x # -1 11.2 Without using the calculator's differentiation facility, evaluate df(x)/dx, given that f(x) = [(x3 - 1)/(x(x - 1))]1/3 at x = 2

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