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Consider the function x) = 4 + M The goal is to compute f'(:r:) using the denition it? + h) x) I _ . f

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Consider the function x) = 4 + M The goal is to compute f'(:r:) using the denition it? + h) x) I _ . f (3;) _ 111310 h a) First note that W : O 4+VWW h 0 x/4m-l-h-i-7W h 0 4+x/4m+h+7\\/4$+7 h 0 mm4m+7 h b) Notice, as h > 0, this is an indeterminate of the form % We need to multiply the expression in (a) by a factor of the form so that there is no B longer a division by 0 when h = 0. What is the value of B ? O x/4w+h+7+m O x/4x+h+7m Ox/4($+h)+7+\\f3'l_7 O \\/4(:E+h)+7\\/1:E7

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