Question
निम्नलिखित सीमा ज्ञात कीजिए:
(i)
(ii)
Answer :
Word Count : 201
हम दिए गए दो सीमाओं (limits) को हल करते हैं: ### (i) \(\lim_{x\rightarrow+\infty}\left(\frac{x^2}{8x^2-3}\right)^{1/3}\) हल: हम भिन्न (\(\frac{x^2}{8x^2-3}\)) के अंश और हर को \(x^2\) से विभाजित करते हैं: \[ \frac{x^2}{8x^2 - 3} = \frac{1}{8 - \frac{3}{x^2}} \] जब \(x \to +\infty\), तब \(\frac{3}{x^2} \to 0\), इसलिए \[ \frac{1}{8 - 0} = __________ _______ __________ ______ ________.
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हम दिए गए दो सीमाओं (limits) को हल करते हैं: ### (i) \(\lim_{x\rightarrow+\infty}\left(\frac{x^2}{8x^2-3}\right)^{1/3}\) हल: हम भिन्न (\(\frac{x^2}{8x^2-3}\)) के अंश और हर को \(x^2\) से विभाजित करते हैं: \[ \frac{x^2}{8x^2 - 3} = \frac{1}{8 - \frac{3}{x^2}} \] जब \(x \to +\infty\), तब \(\frac{3}{x^2} \to 0\), इसलिए \[ \frac{1}{8 - 0} = __________ _______ __________ ______ ________.
_______ _____ ________ ____ ______.
_________ __________ ______ _________ _________.
___ __________ _______ ___ _________ _____ ___ ____ ________ ______ _____ _________.
_______ ____ ____ ______ ______ ________ ________ __________ __________ _________ ______ ________.
_________ __________ _______ _____ __________ _________ _______ __________ ___ _________ ________.
________ ______ ___ _________ ___ ____ _____.
_______ __________ _________ ___ _____ ____ _______ ________ _____ ____ __________.
______ _____ ________ _________ ______ __________ ______ _____ _______ _____ _______.
_________ ________ ___ ___ _______ ________.
_____ _____ _______ ________ ______ _________ ___.
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__________ __________ _________ ____ ________.
_____ _____ _______ _________ ______ _________ __________ ___.
_______ _______ ____ ________ ___ _________ _________.
__________ _________ _____ __________ ______ _________ ____ _____ _________ ________ ________.
_______ _____ ________ __________ __________.
____ ____ _________ ___ __________.
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