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lim(n to oo)(1-2n^(2))/(5n^(2)-n+100)=...

`lim_(n to oo)(1-2n^(2))/(5n^(2)-n+100)=`

A

`-1`

B

`-(2)/(5)`

C

`(2)/(5)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
To find the limit of this expression as n approaches infinity, think about what happens as n gets extremely large. What happens is that the `n^(2)` terms become so huge that they dwarf all other terms into insignificance. So you can think of the expression as, in effect,
`(-2n^(2))/(5n^(2))=-(2)/(5)`
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KAPLAN-PRACTICE TEST 2 -PRACTICE TEST
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