Question: Please answer all the questions with CLEAR FORMAT :) THANKS sin(x) EXAMPLE 3 Guess the value of the limit below. lim sin(x) $1.0 0.84147098 x

 Please answer all the questions with CLEAR FORMAT :) THANKS sin(x)

Please answer all the questions with CLEAR FORMAT :) THANKS

EXAMPLE 3 Guess the value of the limit below. lim sin(x) $1.0

sin(x) EXAMPLE 3 Guess the value of the limit below. lim sin(x) $1.0 0.84147098 x - 0 10.5 0.95885108 SOLUTION The function f(x) = (sin(x))/x is not defined when x = . Using a calculator (and remembering that, if x ER, sin(x) means the sine of the angle whose radian measure is x), we construct a table of values correct to eight decimal places. From the table and the graph in the figure we guess that 10.4 0.97354586 n sin(@ = #0.3 0.98506736 x - 0 X 10.2 0.99334665 This guess is in fact correct, as will be proved in Chapter 3 using a geometric argument. 10.1 0.99833417 y= 2 sin x 10.05 0.99958339 X 10.01 0.99998333 10.005 0.99999583 10.001 0.99999983 Video Example

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