Word Count : 255

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हम इन सीमाओं (limits) को संख्यात्मक रूप से जाँचने के लिए गणना करते हैं। ### (i) \(\lim_{x\rightarrow\infty}\left(\frac{x-3}{x-1}\right)^{x}=\frac{1}{e^2}\) #### हल: हम पहले समीकरण को सरल रूप में लिखते हैं: \[ y = \left(\frac{x-3}{x-1}\right)^x \] इसका लघुगणकीय रूप लेते हैं: \[ \ln y = __________ _____ ____ ________ _______ ______ ___ ___ _________ ____ ________.
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