Limits and Derivatives

Limits and Derivatives

Question

Evaluate the following :

space space space space space space space limit as straight x rightwards arrow of left parenthesis 3 minus straight x squared right parenthesis

Answer
space space space space space space space space space space space space space space space space limit as straight x rightwards arrow 1 of left parenthesis 3 minus straight x squared right parenthesis space equals limit as straight x rightwards arrow 1 of 3 minus limit as straight x rightwards arrow 1 of straight x squared equals 3 minus left parenthesis 1 right parenthesis squared equals 3 minus 1 equals 2

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