Word Count : 255

---

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: \[ \ln y = x \ln \left(\frac{x-3}{x-1}\right) \] अब देखते हैं कि जब ____ _______ __________ ________ _____ ___ ______ ________ ______ ____ ___.
________ _______ ___ ________ _______.
___ ___ _________ __________ __________ _________ ___ __________ ___ _____ ____ ______.
__________ _____ __________ ____ _________.
_________ _______ ____ ___ _____ ____ ________ __________.
______ ________ ________ ______ _________ ______ ____ ____ __________ _____ ____.
_______ _________ ___ _____ ______ ____.
_________ _______ _________ __________ ____.
_________ ____ ________ __________ _____ ______ _____.
_______ ___ ____ _________ ___ ____ _____ _____ __________ _________ ________ ________.
___ ________ ________ _______ __________ ________ ________ ______ _____.
_____ _____ ___ ____ ___ ______ ________.
_________ _______ __________ ____ ______ ________ __________ _____ _____ ____ _________.
_______ __________ _____ _______ _________ _____ ___ ______ ___ _____ ________.
__________ ______ ________ _____ _________ __________ _________ ____ _________ ______ _________ __________.
__________ ______ ____ _________ _____ ____.
________ __________ __________ ______ ____ _______ __________ _______.
__________ ___ ______ ______ ______ _______ ___ ____ ________ __________ _________.
_______ ________ ___ _____ ___ _________ ___ ____ ______ __________.
_____ ____ _____ __________ ______ ____ _____ ______ _______ ____.
_________ ___ __________ ______ _____ _________ _______ ___.
____ ___ ________ ___ ___ __________ ____ ______.
_____ ______ ______ _______ _____ __________.
__________ ________ ___ ____ ____.
Get Full Answer on WhatsApp