Question on: JAMB Mathematics - 2022

Find the limit of y = \(\frac{x^3 + 6x - 7}{x-1}\) as x tends to 1

A

9

B

8

C

0

D

7

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Correct Option: A

\(\frac{x^3 + 6x - 7}{x-1}\):

When numerator is differentiated => 3x\(^2\) + 6  

When the denominator is differentiated => 1

Hence,

\(\frac{3x^2 + 6}{1}\)

Substitute x for 1

 \(\frac{3 * 1^2 + 6}{1}\) =  \(\frac{3 + 6}{1}\) 

=  \(\frac{9}{1}\)

= 9

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