I have hard time to understand and how to graph to find the answers. Please show
ID: 2845984 • Letter: I
Question
I have hard time to understand and how to graph to find the answers. Please show me how do you graph and find the answers. Also pelase show your work. Thank you!
A function f (x) is said to have a removable discontinuity at x = a if both of the following conditions hold: f is either not defined or not continuous at x = a. f(a) could either be defined or redefined so that the new function is continuous at x = a. Show that f(x) = has a removable discontinuity at x = 0 by verifying (1) in the definition above, and then verifying (2) in the definition above by determining a value of f(0) that would make f continuous at x = (). f(0) = would make f continuous at x = 0. Hint: Try combining the fractions and simplifying. The discontinuity at x = 3 is actually not a removable discontinuity, just in case you were wondering. A function f(x) is said to have a jump discontinuity at x = a if: The left and right limits are not equal. Show that f(x) has a jump discontinuity at X = 9 by calculating the limits from the left and right at x = 9. Now for fun, try to graph f(x). Let f(x) = Find the indicated one-sided limits of f, and determine the continuity of f at the indicated point. NOTE: Type DNE if a limit does not exist. You should also sketch a graph of y = f (x), including hollow and solid circles in the appropriate places.Explanation / Answer
Questions on third image
1) lim x-> (5-a) answer = -30
2)limit x->(5+a)answer = 30
3) limitx->5 answer = 1
where a represents a very small positive quantity
Questions on second image
1)limit x->(9-a) answer = 64
2)limit x->(9+a) answer = 4/17
where a represents a very small positive quantity