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To be continuous at x=1, the value of (x...

To be continuous at `x=1`, the value of `(x^(4)-1)/(x^(3)-1)` must be defined to be equal to

A

-1

B

0

C

1

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Factor and reduce: `((x-1)(x+1)(x^(2)+1))/((x-1)(x^(2)+x+1))`. Substitue 1 for x and the fraction equals `(4)/(3)`.
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Knowledge Check

  • inte^(3 log x ) (x^(4)+ 1) ^(-1) dx is equal to

    A
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    B
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    C
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    D
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