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(Solved): (6) Consider the function f(x)=(sinx)/(x) where x is in radians. You will need a calculator for the ...



(6) Consider the function

f(x)=(sinx)/(x)

where

x

is in radians. You will need a calculator for the following. (a) Is the function defined at

x=0,0.5,0.2,0.1,-0.5,-0.2,-0.1

? Explain. (b) Is the function defined near

x=0

? Explain. (c) Guess the limit of

f(x)

as

x

approaches 0 ? That is, guess

\lim_(x->0)(sinx)/(x)

. Explain. Use a calculator to understand its graph.



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