Asked by Adam
The limit from x--> infinity of x^(3/x)
i keep getting 3/infinity, which is infinity and this answer is incorrect.
i keep getting 3/infinity, which is infinity and this answer is incorrect.
Answers
Answered by
Reiny
Use an intuitive approach
what happens to 3/x as x ---> infinity
it get smaller and smaller,
that is, it approaches zero
and what is (any base)^0 ?
Isn't that equal to 1 ?
(test with your calculator,
take (1000000)^(3/1000000) to get 1.0000138)
what happens to 3/x as x ---> infinity
it get smaller and smaller,
that is, it approaches zero
and what is (any base)^0 ?
Isn't that equal to 1 ?
(test with your calculator,
take (1000000)^(3/1000000) to get 1.0000138)
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