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Please Solve for Limx tends to infinity ( 3 √8x 2 -x 3 ) +x

Please Solve for Limx tends to infinity (3√8x2-x3) +x

Question Image
Grade:11

1 Answers

Aditya Gupta
2075 Points
2 years ago
the expression can be written as:
x*[1+{(8/x) – 1}^(1/3)]
let y=1/x
so lim y tends to zero [1+(8y-1)^(1/3)]/y
this is 0/0 form, so apply l’hospital rule
 lim y tends to zero 8/3(8y-1)^(2/3)
we get the limit value as 8/3

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