Mathematics
Dear Aspirant,
Mathematics is the kind of subject which involves a lot of practice, and logical thinking. For JEE having a good grasp at Mathematics is very essential as it will boost your rank and also help you throughout your engineering career.
Essentials
1. Mathematics NCERT Class 11 and 12
For admission in B.A. (Programme) in University of Delhi, you need to follow the following eligibility criteria:
Hello Divyansh Agarwal !
Let [math]x = u^{15}[/math]. As [math]x\to 1[/math], then [math]u\to 1[/math].
[math]\begin{align*} \lim_{x\to 1} \; \frac{x^\frac{2}{3}-1}{x^\frac{3}{5}-1} & = \lim_{u\to 1} \; \frac{(u^{15})^\frac{2}{3}-1}{(u^{15})^\frac{3}{5}-1} \\ & = \lim_{u\to 1} \; \frac{u^{10}-1}{u^{9}-1} \\ & = \lim_{u\to 1} \; \frac{(u-1)(u^9+u^8+u^7+u^6+u^5+u^4+u^3+u^2+u+1)}{(u-1)(u^8+u^7+u^6+u^5+u^4+u^3+u^2+u+1)} \\ & = \lim_{u\to 1} \; \frac{u^9+u^8+u^7+u^6+u^5+u^4+u^3+u^2+u+1}{u^8+u^7+u^6+u^5+u^4+u^3+u^2+u+1} \\
I am sorry to inform you that the information you are looking for cannot be found on this platform or any other platform online. The reason is that MANIT has not declared the PhD syllabi online on it's officia website. Therefore you would have to physically approach the Department of
greetings,
SASTRA is a good private university. however an intergrated degree has a few shortcomings. you can rather for a bsc degree as of now.
refer to the following link for more information:
https://www.careers360.com/university/shanmugha-arts-science-technology-research-and-academy-thanjavur
hope this helps.
good luck
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