Rational Function: Linear Numerator and Quadratic Denominator
Horizontal Asymptote
Peitke see kaust õpilaste eest.
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Hole (if present)
Peitke see kaust õpilaste eest.
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This slider controls a given x value
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Avaldis 19: "x" Subscript, "g" "i" "v" "e" "n" , Baseline equals negative 0.4xgiven=−0.4
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Avaldis 20: left parenthesis, "x" Subscript, "g" "i" "v" "e" "n" , Baseline , "f" left parenthesis, "x" Subscript, "g" "i" "v" "e" "n" , Baseline , right parenthesis , right parenthesisxgiven,fxgiven
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The blue points show the points as x approaches x given from left
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"x" Subscript, 1 , Baselinex1
"f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesisfx1
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 1xgiven−1
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.5xgiven−0.5
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.1xgiven−0.1
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.0 5xgiven−0.05
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.0 1xgiven−0.01
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.0 0 5xgiven−0.005
"x" Subscript, "g" "i" "v" "e" "n" , Baseline minus 0.0 0 1xgiven−0.001
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The green points show the points as x approaches x given from right
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"x" Subscript, 2 , Baselinex2
"f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesisfx2
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.0 0 1xgiven+0.001
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.0 0 5xgiven+0.005
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.0 5xgiven+0.05
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.0 1xgiven+0.01
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.1xgiven+0.1
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 0.5xgiven+0.5
"x" Subscript, "g" "i" "v" "e" "n" , Baseline plus 1xgiven+1
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If the two tables approach the same y value as x approaches x given, then this function has a limit at x given