Question
Find the following limits:(i)
(ii)
Answer :
Word Count : 150
(i) (\displaystyle \lim_{x \to +\infty} \left( \frac{x^2}{8x^2 - 3} \right)^{1/3}) Divide numerator and denominator inside the parentheses by (x^2): [ \frac{x^2}{8x^2 - 3} = \frac{1}{8 - \frac{3}{x^2}}. ] As (x _______ ___ __________ ______ __________ ___ ________.
_______ __________ ______ ___ ____ ____ ____ _____ ___.
__________ _____ ___ _______ ________ _____ ______ _______ ___ _____ ____.
__________ ______ ______ _____ _______ ____ ______ __________.
_________ _____ _____ ________ ____ ______ __________ _____ __________ _______ _________ ____.
_______ __________ ______ ___ ______ ________ ________ ______ ________ ________.
_________ _________ ____ _____ __________ ________ __________.
____ __________ ______ ___ ________ _____ _______ ________ ___ ___ _______.
___ _____ __________ _________ ______ _________ _____ __________ ________.
_____ _______ ____ _____ ____ ________.
____ _____ __________ ________ _______ ______ _____ ____ __________ ___ _____.
_____ _____ _____ _________ ___ ________ ____.
_____ _____ ______ _____ ________ __________ ________ _______ _________.
_________ _____ ___.
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(i) (\displaystyle \lim_{x \to +\infty} \left( \frac{x^2}{8x^2 - 3} \right)^{1/3}) Divide numerator and denominator inside the parentheses by (x^2): [ \frac{x^2}{8x^2 - 3} = \frac{1}{8 - \frac{3}{x^2}}. ] As (x _______ ___ __________ ______ __________ ___ ________.
_______ __________ ______ ___ ____ ____ ____ _____ ___.
__________ _____ ___ _______ ________ _____ ______ _______ ___ _____ ____.
__________ ______ ______ _____ _______ ____ ______ __________.
_________ _____ _____ ________ ____ ______ __________ _____ __________ _______ _________ ____.
_______ __________ ______ ___ ______ ________ ________ ______ ________ ________.
_________ _________ ____ _____ __________ ________ __________.
____ __________ ______ ___ ________ _____ _______ ________ ___ ___ _______.
___ _____ __________ _________ ______ _________ _____ __________ ________.
_____ _______ ____ _____ ____ ________.
____ _____ __________ ________ _______ ______ _____ ____ __________ ___ _____.
_____ _____ _____ _________ ___ ________ ____.
_____ _____ ______ _____ ________ __________ ________ _______ _________.
_________ _____ ___.
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