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Questions >> JEEMAIN and NEET >> Mathematics >> Class11 >> Limits and Derivatives

$\lim\limits_{x\to 0}\large\frac{\sin(\pi\cos^2x)}{x^2}$ equals

answered Dec 20, 2013 by sreemathi.v

1 answer

For $x\in R\lim\limits_{x\to \infty}\big(\large\frac{x-3}{x+2}\big)^x$ =

answered Dec 20, 2013 by sreemathi.v

1 answer

If $G(x)=-\sqrt{25-x^2}$ then $\lim\limits_{x \to 1}\large\frac{G(x)-G(1)}{x-1}$ has the value

answered Dec 20, 2013 by sreemathi.v

1 answer

If $f(x)=\sqrt{\large\frac{x-\sin x}{x+\cos^2x}}$ then $\lim\limits_{x\to \infty}f(x)$ is

answered Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to \infty}\big(\large\frac{x+6}{x+1}\big)^{x+4}$ =

answered Dec 20, 2013 by sreemathi.v

1 answer

If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ equals

answered Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to -\infty}\bigg[\large\frac{x^4\sin(1/x)+x^2}{(1+|x|^3)}\bigg]$ =

answered Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to 1}(1-x)\tan\large\frac{\pi x}{2}$ =__________

answered Dec 20, 2013 by sreemathi.v

1 answer

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