Question

Use the two-path test to prove that the following limit does not exist. lim((x,y)?(0,0)) (y^4 - 2x^2) / (y^4 + x^2) What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(x,y) approaches . (Simplify your answer.) B. f(x,y) approaches ?. C. f(x,y) approaches -?. D. f(x,y) has no limit as (x,y) approaches (0,0) along the x-axis. What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the y-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(x,y) approaches . (Simplify your answer.) B. f(x,y) approaches -?. C. f(x,y) approaches ?. D. f(x,y) has no limit as (x,y) approaches (0,0) along the y-axis.

          Use the two-path test to prove that the following limit does not exist.
lim((x,y)?(0,0)) (y^4 - 2x^2) / (y^4 + x^2)
What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. f(x,y) approaches . (Simplify your answer.)
B. f(x,y) approaches ?.
C. f(x,y) approaches -?.
D. f(x,y) has no limit as (x,y) approaches (0,0) along the x-axis.
What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the y-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. f(x,y) approaches . (Simplify your answer.)
B. f(x,y) approaches -?.
C. f(x,y) approaches ?.
D. f(x,y) has no limit as (x,y) approaches (0,0) along the y-axis.

Use the two-path test to prove that the following limit does not exist.
lim((x,y)?(0,0)) (y^4 - 2x^2) / (y^4 + x^2)
What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. f(x,y) approaches . (Simplify your answer.)
B. f(x,y) approaches ?.
C. f(x,y) approaches -?.
D. f(x,y) has no limit as (x,y) approaches (0,0) along the x-axis.
What value does f(x,y) = (y^4 - 2x^2) / (y^4 + x^2) approach as (x,y) approaches (0,0) along the y-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. f(x,y) approaches . (Simplify your answer.)
B. f(x,y) approaches -?.
C. f(x,y) approaches ?.
D. f(x,y) has no limit as (x,y) approaches (0,0) along the y-axis.

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