Write down the formal (epsilon-delta) definition of a limit below. That is, a function f(x) has a…

Write down the formal (epsilon-delta) definition of a limit below. That is, a function f(x) has a…
Write down the formal (epsilon-delta) definition of a limit below.  That is, a function f(x) has a limit of Las x + a provided that: lima fx)=L   Look up the Epsilon-Delta game in Desmos here: https://www.desmos.com/calculator/zn6slocim Then complete the following:  For the function f(x) = x2:  a. Find lim f(x) (you can use properties of limits discussed in section 1.6) X-3  b. In your graph from the link above, let Lequal that value you found. (You do not need to write anything here) c. Let E (epsilon) equal 0.5. How small do you need to make 8 (delta), to the nearest hundredth, in order to make f(x) – L|  d. Next, explain in words why the region turns green when you make & sufficiently small. Explain what is happening with your inputs and outputs.   e. Let ε = 0.1. How small do you need to make 8 (to three decimals) in order to have If(x) – L| < whenever="" ix="" –="" al="">
Apr 26 2022 01:28 PM

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