1 Consider the function f(x) x+1 1 (a) Evaluate lim x>0 x +1 (b) Find the stationary point of the curve y = f(x) and determine its nature. (c) Find the point(s) of inflection of the curve y = f(x) . (d) Sketch the curve y = f(x) showing all the features found above. Using your graph, find all values of k for which the equation kx? =1-k has exactly one solution. (e)

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A: Consider the exponential function:

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