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Week Eight - Applications AssignmentAnswer 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= 12) 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)=44) 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)=DNE5) Determine the limit of the function as x approaches infinity:f(x)=2x2x2−9limx→ ∞(2x2x2−9)2∗limx → ∞(x2x2−9)2∗limx → ∞(x2x2x2x2−9x2)2∗limx → ∞(11−9x)2