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Let f(x) = {- 4/x + 3 if x - 3 Calculate the following limits by using a graph o

ID: 3111566 • Letter: L

Question

Let f(x) = {- 4/x + 3 if x - 3 Calculate the following limits by using a graph or a table of values. Enter "DNE" NOT "infinity" if the limit does not lim_x rightarrow - 3 f(x) = lim_x rightarrow - 3 f(x) = lim_x rightarrow - 3 f(x) = Enter your answer as a number (like 5, - 3, 2, 2172) or as a calculation (like 5/3, 2^3, 5 + 4) Enter DNE for Does Not Exist, infinity for Infinity Enter your answer as a number (like 5, -3, 2, 2172) or as a calculation (like 5/3, 2^3, 5 + 4) Enter DNE for Does Not Exist, infinity for Infinity Enter your answer as a number (like 5, - 3, 2.2172) or as a calculation (like 5/3, 2^3, 5 + 4) Enter DNE for Does Not Exist, infinity for Infinity.

Explanation / Answer

1.f (-3+) = 3 (-3)+11=2

2. f (-3-)=4/(-3+3)=4/0= infinity

3. Since right hand limit and left hand limit are not equal. Also the left hand limit doesnt exist. Therefore, the limit doesnt exist