MA141W8Assignment.docx - Week Eight Applications Assignment Answer the following questions in a Word document and upload the document to the appropriate

# MA141W8Assignment.docx - Week Eight Applications Assignment...

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Week Eight - Applications Assignment Answer the following questions in a Word document and upload the document to the appropriate drop box. 1) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:x-1-0.25-0.01-0.0050.0050.010.251f(x)0.84140.98960.99990.99990.99990.99990.98960.8414Round the values for f(x) to 4 placessin(x)x= 1 2) Using a method like 1 above, approximate the limit of the function f(x) = (1 + x)(1/x)as x approaches zero to three decimal places. What famous number does this limit approach? 3) Using the graph of a function f(x), determine the limit of the function as x approaches 1.
f(x)= 4 4) The following is the graph of a function which is not defined for x = 2. Using the graph determine the limit of the function as x approaches 2.We can see from the graph that x→2¿f(x)=−1lim¿¿and that x→2+¿f(x)=1lim¿¿since the right sided limit and the left side limit are not the same the over all limit does not exist so, Solution: limx→2f(x)=DNE 5) Determine the limit of the function as x approaches infinity: f(x)=2x2x29limx→ ∞(2x2x29)2limx → ∞(x2x29)2limx → ∞(x2x2x2x29x2)2limx → ∞(119x) 2
2∗(limx→ ∞1limx →∞(19x2))limx→ ∞(1)=1limx → ∞(19x2)=limx→ ∞(1)limx→ ∞(9x2)limx → ∞(9x2)= 01 – 0 = 1 so,limx→ ∞2(11)= 2Solution : limx→ ∞2x2x29)= 2 (