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I need help with these questions: (1) If f(2) = 4, can you conclude anything about lim f(x)? Explain your reasoning. Be sure to give
I need help with these questions:
(1) If f(2) = 4, can you conclude anything about lim f(x)? Explain your reasoning. Be sure to give an x-2 example to support your case. (2) If lim f(x) = 4, can you conclude anything about f(2)? Explain your reasoning. Be sure to give an x-+2 example to support your case.(3) (a) Use WolframAlpha to graphically determine the limit below. Note that you do not need any knowledge of trigonometry to do this. Supply the graph of the function f(@) = sing * in your answer. sIn T lim sin r lim 5r(b) Once you find the limit above, use your answer to find the following limit. (4) Use a WolframAlpha to plot the following functions on the same graph on a seprate sheet. Again, no knowledge of trigonometry is needed here. h(x) = x sin A(x) = x2 9(x) = -x2 (a) Explain in your own words what is happening to h(x) as x- 0. Make sure to note what its upper and lower bounds appear to be.(b) Based on your observations, make an educated guess as to the value of lim h(x). Be sure to explain *+0 your reasoning. (c) There is a theorem in Calculus (commonly referred to as the "Squeeze Theorem" or "SandwichTheorem") that states the following: Theorem. If g(x)Step by Step Solution
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