List of top Mathematics Questions on limits and derivatives asked in AP ECET Ceramic Tech

\[ \lim_{x\to\infty}\left(1+\frac{1}{x}\right)^x= \]
\[ \lim_{x\to 0}\frac{\sqrt{1+x}-1}{x}= \]
The value of \(\displaystyle \lim_{x\to\infty}\frac{4x^3-x+1}{x^2-4x(1-x^2)\) is}
The value of \(\displaystyle \lim_{x\to 1}\left(\frac{x^3-1}{x-1}\right)\) is
The value of \(\displaystyle \lim_{x\to 1}\left(\frac{x^3-1}{x-1}\right)\) is
The value of \(\displaystyle \lim_{x\to\infty}\frac{4x^3-x+1}{x^2-4x(1-x^2)\) is}