Lesson Worksheet: Limits of Multivariable Functions Mathematics

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In this worksheet, we will practice finding the limit of multivariable functions as we approach a point in the domain of the function.

Q1:

Evaluate the limit limsin()→()𝑦𝑥𝑥+𝑦, if it exists.

  • AThe limit does not exist.
  • B12
  • C0

Q2:

Evaluate lim()→()𝑥𝑦−4𝑦, if it exists.

Q3:

Evaluate lim()→()𝑥𝑦, if it exists.

  • AThe limit does not exist.
  • B1
  • C−1
  • D0

Q4:

Evaluate lim()→()𝑥−𝑦𝑥+𝑥𝑦+𝑦, if it exists.

Q5:

Evaluate the limit lim()→()𝑥𝑦−𝑦(𝑥−1)+𝑦, if it exists.

  • A0
  • B12
  • CThe limit does not exist.

Q6:

Evaluate the limit lim()→()𝑥𝑦𝑥+𝑦, if it exists.

  • A1
  • BThe limit does not exist.
  • C12
  • D0

Q7:

Evaluate lim()→()𝑥𝑦𝑥+𝑦, if it exists.

Q8:

Evaluate lim()→()𝑥−4𝑦𝑥+2𝑦, if it exists.

  • A−2
  • B−43
  • CThe limit does not exist.
  • D0

Q9:

Evaluate lim()→()𝑥𝑦𝑧𝑥+𝑦+𝑧, if it exists.

Q10:

Evaluate the limit lim()→()𝑥+𝑦√𝑥+𝑦+1−1 if it exists.

This lesson includes 19 additional questions for subscribers.

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