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Calc 1 Lab 7 pg3 - 111 MORE ON LIMITS Type if:= x —>...

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Unformatted text preview: 111. MORE ON LIMITS Type if := x —> piecewise(x>0,x—3,x=0,5,x<0,x‘2+4*x-3); into Maple . Now plot the graph of f(x) for x = -3 .. 3. Can you figure out how the “piecewise” command works? 1. What is f(5)? What is the limit x —> 0 of f(x)? 2. What is sin( f(O) )? Is limit x —> 0 of sin( f(x)) = sin(S)? If not, what is it? 3. What is f(sin(0))? Is limit x f(sin(x)) = 5? If not, what is it? —>Oof 4.What is f(f(0))? What is limit as x —> 0 of f(f(x))? Are these two values equal or not? f(f(x)) look like near x = 0? LIMITS IN MAPLE limit( sin(x)/x, x = 0) limit( sin(x)/x, x = infinity) limit( 1/ (x—l), x = 1, right) 1imit( 1/(2-1), x = 1, Iefi) What does the graph of ...
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