Transcription of I. The Limit Laws
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I. The Limit Laws
Math131 Calculus I The Limit Laws Notes I. The Limit Laws Assumptions: c is a constant and )(limxfax and )(limxgax exist Direct Substitution Property: If f is a polynomial or rational function and a is in the domain of f, then = )(limxfax Simpler Function Property : If )()(xgxf= when ax then)(lim)(limxgxfaxax =, as long as the Limit exists. Limit Law in symbols Limit Law in words 1 )(lim)(lim)]()([limxgxfxgxfaxaxax +=+ The Limit of a sum is equal to the sum of the limits.
Math131 Calculus I The Limit Laws Notes 2.3 I. The Limit Laws Assumptions: c is a constant and f x lim ( ) →x a and g x lim ( ) →x a exist Direct Substitution Property: If f is a polynomial or rational function and a is in the domain of f, then = f x lim ( ) x a
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