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Complete the table and use the results to find the indicated limit.

Complete the table and use the results to find the indicated limit.-example-1
User DanMan
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1 Answer

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Given the function:


k(x)=(x^3-x-6)/(x-2)

when x = 1.9


k(x)=(1.9^3-1.9-6)/(1.9-2)=(-1.041)/(-0.1)=10.41

when x = 1.999


k(x)=(1.999^3-1.999-6)/(1.999-2)=(-0.0109944)/(-0.001)=10.994001

When x = 2.001


k(x)=(2.001^3-2.001-6)/(2.001-2)=(0.011006)/(0.001)=11.006

When x = 2.1


k(x)=(2.1^3-2.1-6)/(2.1-2)=(1.161)/(0.1)=11.61

so, the limit of the function k(x) = 11

The answer is option A. 11

User CarveDrone
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