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Recent questions tagged limits and derivatives
Questions
$\lim\limits_{x\to {-1}}\large\frac{\sqrt{\pi}-\sqrt{\cos^{-1}x}}{\sqrt{x+1}}$ is given by
jeemain
math
ch13
limits and derivatives
limits-of-trigonometric-functions
easy
q93
asked
Dec 30, 2013
by
sreemathi.v
1
answer
If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ is
jeemain
math
ch13
limits and derivatives
derivatives
easy
q92
asked
Dec 30, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\big(\large\frac{a^x+b^x+c^x}{3}\big)^{1/x}$ is
jeemain
math
ch13
limits and derivatives
introduction to limits
easy
q91
asked
Dec 30, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \large\frac{\pi}{4}}\large\frac{\cos x-\sin x}{(\Large\frac{\pi}{4}-\normalsize x)(\large\cos x+\sin x)}$ is
jeemain
math
ch13
limits and derivatives
limits-of-trigonometric-functions
easy
q90
asked
Dec 30, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \large\frac{\pi}{4}}\big(\large\frac{1-\tan x}{1\sqrt 2\sin x}\big)$=
jeemain
math
ch13
limits and derivatives
limits-of-trigonometric-functions
easy
q88
asked
Dec 30, 2013
by
sreemathi.v
1
answer
If $\lim\limits_{x\to k}\large\frac{x^k-5^k}{x-5}$$=500$ then positive value of k is
jeemain
math
ch13
limits and derivatives
introduction to limits
easy
q87
asked
Dec 30, 2013
by
sreemathi.v
1
answer
If $x_1=1$ and $x_{n+1}=\large\frac{4+3x_n}{3+2x_n}\qquad$$n \geq 1$ and if $\lim\limits_{n\to \infty}x_n=l$ then l is
jeemain
math
ch13
limits and derivatives
introduction to limits
easy
q83
asked
Dec 30, 2013
by
sreemathi.v
1
answer
If $\lim\limits_{x\to \infty}\big(\large\frac{x^3+1}{x^2+1}$$-(ax+b)\big)=2$ then
jeemain
math
ch13
limits and derivatives
introduction to limits
easy
q82
asked
Dec 30, 2013
by
sreemathi.v
1
answer
If $f(x)=\left\{\begin{array}{1 1}\large\frac{\sin[x]}{[x]}&[x]\neq 0\\0&[x]=0\end{array}\right.$ then
jeemain
math
class11
ch13
limits and derivatives
limits-of-trigonometric-functions
easy
q64
asked
Dec 24, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{x\to 0}(1+\sin x)^{\Large\frac{1}{x^2}}$
jeemain
math
class11
ch13
limits and derivatives
introduction to limits
easy
q31
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{h\to 0}\large\frac{(a+h)^2\sin(a+h)-a^2\sin a}{h}$
jeemain
math
class11
ch13
limits and derivatives
derivatives
easy
q30
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Let $f : R\rightarrow [0,\infty]$ be such that $\lim\limits_{x\to 5}f(x)$ exists and $\lim\limits_{x\to 5}\large\frac{(f(x))^2-9}{\sqrt{|x-5|}}$ = 0. Then $\lim\limits_{x\to 5}f(x)$ equals
jeemain
math
class11
ch5
limits and derivatives
introductxion to limits
easy
q28
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 2}\big(\large\frac{\sqrt{1-\cos 2(x-2)}}{x-2}\big)$
jeemain
math
class11
ch11
limits and derivatives
limits on trigonometric functions
easy
q27
asked
Dec 23, 2013
by
sreemathi.v
1
answer
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