Find the limit: lim (x -> 1) (x^4 - 1)/(x - 1) (2023)

Practice Questions

1 question
Q1
Find the limit: lim (x -> 1) (x^4 - 1)/(x - 1) (2023)
  1. 0
  2. 1
  3. 4
  4. Undefined

Questions & Step-by-step Solutions

1 item
Q
Q: Find the limit: lim (x -> 1) (x^4 - 1)/(x - 1) (2023)
Solution: Factoring gives ((x - 1)(x^3 + x^2 + x + 1))/(x - 1). For x ≠ 1, this simplifies to x^3 + x^2 + x + 1. Thus, lim (x -> 1) = 4.
Steps: 0

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