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Can you please show all your work in clear handwriting Day 5 Finally, on day 5, e decided to challenge himself to a limit problem.

Can you please show all your work in clear handwriting

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Day 5 Finally, on day 5, e decided to challenge himself to a limit problem. He wanted to construct a function so that lim h (x) = 2 with the following restrictions. X-4 The function is rational, ie h(x) = f(x) g (x) The limit must contain an indeterminate form, ie h(0) =() = g(0) f (x) The function 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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