Word Count : 299

---

समस्या को हल करने के लिए, हमें निम्नलिखित सीमा की गणना करनी है: \[ \lim_{n\rightarrow\infty}\left[\frac{1}{\sqrt{2n-1^2}}+\frac{1}{\sqrt{4n-2^2}}+\frac{1}{\sqrt{6n-3^2}}+\cdots+\frac{1}{\sqrt{2n(n)-n^2}}\right] \] इस सीमा को हल करने के लिए, हम इसे एक समाकल (integral) के रूप में व्यक्त करेंगे। ### चरण 1: सीमा को समझें सीमा में दिए गए व्यंजक को निम्नलिखित रूप में लिखा जा सकता है: \[ S_n = \sum_{k=1}^{n} \frac{1}{\sqrt{2kn - k^2}} __________ _______ ____ ________ ________ ________.
__________ _____ __________ ________ ____.
___ ___ ________ ________ _____ _____ ___ _________ _____.
___ ______ _____ _______ __________ _______ __________ _________ _____ _______ ______.
___ ____ ________ ________ ___ ______ _____ _________ _________.
____ ______ ___ ____ _________ ______ ____.
_______ _____ _________ ________ ______ _______ ______.
______ _____ ____ __________ __________.
_____ ______ _____ _____ _________ __________ ______ ___ ______.
_________ __________ ________ ____ _________ _____ __________ ____ ________ ___ _________.
_________ ______ ______ ___ __________ ______ __________ _____ ________ ____ __________.
_________ __________ ____ ______ ________ _______ _____ ___ ________ ____ ______.
______ _________ __________ ___ _____ ___ _______ ________ __________ _____ ______.
____ ________ __________ __________ ____ ______ ___ ________ ________.
_________ _______ ____ _____ ______ ______ _________ __________ ________ ____ _____.
______ __________ _____ __________ ____ ___.
________ _________ ________ __________ ______ _______ _______ _____.
_______ __________ ________ ___ ______.
______ ________ ________ _______ _________ _________ _____.
________ _______ ________ ________ ______ ________ _________ _____ ______ ____.
______ _____ ________ _______ ______ _______ _____.
_______ _____ _______ _______ ____ _________ ________ _______ ______ ____.
____ ___ ___ ____ __________ _________ ____ _______ ________ _________ ________ ______.
__________ __________ _______ _______ ______ ______ ______.
______ ____ ______ ____ ________ _____.
___ __________ ______ ________ ______ __________.
__________ ________ ___ ____ __________ _________ ___ __________ ________ ______ _______ _____.
________ ________ _________ ___ _________ _____.
____ __________ _________ ___ _____ __________.
Get Full Answer on WhatsApp