Practice Test About Limits of Functions As X Approaches a Constant

Jun 19th, 2016
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This document contains some helpful questions about the limits of functions as a variable approaches a constant. It is perfect for those who want an intuitive tool to enhance their skills in calculus, particularly, in the said topic.

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Limits Of Functions As X Approaches A ConstantoPROBLEM 1 : ComputeoPROBLEM 2 : Compute.oPROBLEM 3 : Compute.oPROBLEM 4 : ComputeoPROBLEM 5 : ComputeoPROBLEM 6 : Compute....oPROBLEM 7 : ComputeoPROBLEM 8 : ComputeoPROBLEM 9 : ComputeoPROBLEM 10 : ComputeoPROBLEM 11 : ComputeoPROBLEM 12 : ComputeoPROBLEM 13 : ComputeoPROBLEM 14 : Consider the function.......i.) Sketch the graph of f .ii.) Determine the following limits.oa.)b.)c.)d.)e.)f.)g.)h.)i.)j.)k.)l.)PROBLEM 15 : Consider the functionDetermine the values of constants a and b so thatexists and is equal to f(2).SOLUTION 1 :.SOLUTION 2 :(Circumvent the indeterminate form by factoring both the numerator and denominator.)(Divide out the factors x - 2 , the factors which are causing the indeterminate formcan be computed. )SOLUTION 3 :. Now the limit(Circumvent the indeterminate form by factoring both the numerator and denominator.)(Divide out the factors x - 3 , the factors which are causing the indeterminate formcan be computed. ).SOLUTION 4 :(Algebraically simplify the fractions in the numerator using a common denominator.). Now the limit(Division byis the same as multiplication by.)(Factor the denominator . Recall that.)(Divide out the factors x + 2 , the factors which are causing the indeterminate formcan

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