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In this lesson, we will learn how to find limits of functions from graphs and tables of values.
Q1:
Use the graph shown to find l i m π₯ β β 3 + π ( π₯ ) .
Q2:
Use the graph shown to find l i m π₯ β 1 + π ( π₯ ) .
Q3:
Use the graph shown to find l i m π₯ β 4 + π ( π₯ ) .
Q4:
Determine l i m π₯ β 4 π ( π₯ ) , if it exists.
Q5:
Determine l i m π₯ β β 3 π ( π₯ ) , if it exists.
Q6:
Estimate l i m ο β ο± ο¨ π ( π₯ ) from the given table.
Q7:
Determine l i m π‘ β 0 6 π‘ 9 π β 9 π‘ by evaluating the function at the following values of π‘ : Β± 0 . 5 , Β± 0 . 1 , Β± 0 . 0 1 , Β± 0 . 0 0 1 , and Β± 0 . 0 0 0 1 .
Q8:
Use the graph below to find l i m π₯ β 3 β π ( π₯ ) .
Q9:
Use the graph below to find l i m π₯ β 2 β π ( π₯ ) .
Q10:
Estimate l i m ο β ο« π ( π₯ ) numerically, given that π ( π₯ ) = π₯ β 2 5 π₯ β 5 ο¨ .
Q11:
Find l i m π₯ β β 3 π ( π₯ ) .
Q12:
Find l i m π₯ β β 2 π ( π₯ ) .
Q13:
Determine l i m π₯ β β 1 0 2 2 β π₯ + 1 0 π₯ π₯ β 1 0 0 , if it exists, by evaluating the function at the following values of π₯ : β 9 . 5 , β 9 . 9 , β 9 . 9 5 , β 9 . 9 9 , β 9 . 9 9 9 , β 9 . 9 9 9 9 , β 1 0 . 5 , β 1 0 . 1 , β 1 0 . 0 5 , β 1 0 . 0 1 , β 1 0 . 0 0 1 , and β 1 0 . 0 0 0 1 , rounding the result to the nearest six decimal places.
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