Lesson Worksheet: Limits of a Difference of Powers Mathematics

In this worksheet, we will practice evaluating limits of a difference of powers.

Q1:

Find lim𝑥625𝑥125.

  • Ahas no limit
  • B203
  • C5
  • D20
  • E154

Q2:

Find lim𝑥5𝑥6𝑥+1+𝑥+1𝑥+1.

  • A143
  • BThe limit does not exist.
  • C173
  • D223
  • E8

Q3:

Determine lim𝑥4.

  • A1128
  • B1320
  • C5256
  • D5128
  • EThe limit does not exist.

Q4:

Find lim𝑥(32)𝑥2.

  • A564
  • BThe limit does not exist.
  • C10
  • D164
  • E532

Q5:

Find the values of 𝑘 for which lim𝑥𝑘𝑥𝑘=24.

  • A32,32
  • B23
  • C4,4
  • D16,16
  • E116

Q6:

Find lim𝑥+𝑥2𝑥1.

  • A1132
  • B733
  • C433
  • DThe limit doesn’t exist.
  • E128

Q7:

Find lim𝑥1𝑥1(𝑥1).

  • A314
  • B724
  • CThe limit does not exist.
  • D247
  • E221

Q8:

Find lim(𝑥4)+8𝑥2.

Q9:

Find lim𝑥1(𝑥1)×1𝑥1.

  • A281
  • BThe limit does not exist.
  • C427
  • D12881

Q10:

Find lim(2𝑥+1)12𝑥.

  • A72
  • B7
  • C14
  • Dhas no limit
  • E7

This lesson includes 37 additional questions and 379 additional question variations for subscribers.

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