Question #305244

Evaluate through constructing table of values


Lim In x 1-cos t/sint


t→0

1
Expert's answer
2022-03-04T09:43:16-0500

Solution


For the given limit


limt01costsint\lim_{t\rightarrow 0}\frac{1-cost}{sint}


For the function f(t)=1cos(t)sin(t)f(t)=\frac{1-cos(t)}{sin(t)}


The table of values when t0t\rightarrow 0 (t approaches zero) is






We can see from the table,


limt01costsint=0\lim_{t\rightarrow 0}\frac{1-cost}{sint}=0




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