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Limits And Derivatives

Question

Wired Faculty App

Evaluate the following :

$WiredFaculty$

Solution

space space space space space space space space space space space space space space space limit as straight x rightwards arrow 4 of left square bracket straight x left parenthesis straight x plus 1 right parenthesis right square bracket space equals space open parentheses limit as straight x rightwards arrow 4 of space straight x close parentheses. open parentheses limit as straight x rightwards arrow 4 of left parenthesis straight x plus 1 right parenthesis close parentheses equals 4 open parentheses limit as straight x rightwards arrow 4 of straight x plus limit as straight x rightwards arrow 4 of 1 close parentheses equals 4 left parenthesis 4 plus 1 right parenthesis equals 4 left parenthesis 5 right parenthesis equals 20

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