# Quiz for MTH 121 - Calc with Analytic Geom I with Bannon at Essex County College (ESSEX)

## Quiz Information

 Material Type: Quiz 21 Professor: Bannon Class: MTH 121 - Calc with Analytic Geom I Subject: Mathematics University: Essex County College Term: Summer I 2005 Keywords: Final AnswersYou Have...Decimal PlacesMathematics

## Sample Document Text

MTH 121 - Summer - 2005 Essex County College - Division of Mathematics Quiz # 21 - May 11, 2005 Name: Signature: Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics. 1. Evaluate the limit, if it exists. limx??4 4 ?1 + x?1 4 + x Solution: limx??4 4 ?1 + x?1 4 + x = limx??4 4?1 + x?1 4 + x · 4x 4x = limx??4 (x + 4) 4x(4 + x) = limx??4 1 4x = ? 1 16 2. Use a table of values to estimate (4 decimal places) the value of the given limit. limx?0 9 x ?5x x Solution: Tables may vary, but your table should roughly produce the following. limx?0 9 x ?5x x = ln9?ln5 = ln 9 5 ? 0.5878 3. Evaluate the limit, if it exists. limx?0 parenleftbigg1 x ? 1 x(x + 1) parenrightbigg Solution: limx?0 parenleftbigg1 x ? 1 x(x + 1) parenrightbigg = limx?0 x + 1?1x(x + 1) = limx?...