Question: Day 5 Finally, on day 5, e decided to challenge himself to a limit problem. He wanted to construct a function so that h(x) =

Day 5 Finally, on day 5, e decided to challenge himself to a limit problem. He wanted to construct a function so that h(x) = 2 with the following restrictions. The function is rational, ie h(x) = I(x g (x) The limit must contain an indeterminate form, ie h(0) = g(0) The function f(x must contain a radical in the numerator g (x) and a trinomial in the denominator so that the technique of rationalization can be used to solve the limit. Determine such a function. [4 marks]

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