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Limit Calculations and Difference Quotients: A College Assignment on Continuity and Behavior of Functions

An assignment on limit calculations and difference quotients, analyzing continuity and function behavior.

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    Limit Calculations and Difference Quotients: A College Assignment on Continuity and Behavior of Functions 1. Determine the limit. If the limit does not exist, write DNE lim x→ - 2 3x 2 - 5x + 7 T o determine the limit of the function f(x)=3x2−5x+7f(x) = 3x^2 - 5x + 7f(x)=3x2−5x+7 as x→−2x \ to - 2x→−2, we can simply substitute x=−2x = - 2x=−2 into the function, since this is a polynomial and polynomials are continuous everywhere. 2. Determine the limit. If the limit doesn't exist then write DNE lim x→ 1 4x x 2 - 1 The limit does not exist because:

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