Calculus Test Review PDF
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Uploaded by BalancedCerium
Upper Iowa University
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Summary
This document contains calculus practice problems, focusing on rational functions and indeterminate forms. It includes a variety of limit problems for students to practice solving.
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The Indeterminate Form of 0/0 CALCULUS TEST REVIEW Rational Functions & Indeterminate Form 2 Find the indicated limit, if it exists. Recall fr...
The Indeterminate Form of 0/0 CALCULUS TEST REVIEW Rational Functions & Indeterminate Form 2 Find the indicated limit, if it exists. Recall from Algebra that when we get 0/0, that means the numerator and denominator share a factor. So how do we "undo" the indeterminate form? Technique: Factor! Cancel! Substitute! Notice we get the answer predicted by the graph earlier! Factor it simplify it Plug in 3 Find the indicated limit, if it exists. 6 Find the indicated limit, if it exists. 0 1 0 1 10 Find the indicated limit, if it exists. 1Add Subtract More with the Form of 0/0 CI 2 Keepchange Flip 7 3 Simplify 4 Plug in Example 4: Indeterminate Forms 7 Find the indicated limit, if it exists. Evaluate the limit: b a b a b III α 13 Use the graph to determine the indicated limit, if it exists. I DNE Infinite Limits Graphically fat _a 1 a f x Example 2: Analyzing Infinite Limits Evaluate the limit: P III is Analyzing Infinite Limits 16 Find the indicated limit, if it exists. 20 Evaluate the limit: 8 one 21 Evaluate the limit: 24 Find the indicated limit of the given function: DNE to Int 4 46 213 7 13 3 o to his I to 1 41 6
