Home/Class 11/Maths/

Question and Answer

Evaluate the limit: \( \underset{h\xrightarrow{}\;0}{lim}⌈\frac{1}{h\sqrt[3]{8+h}}-\frac{1}{2h}⌉\)

Answer

See solution below
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play

Solution

Solution for Evaluate the limit:   underset{hxrightarrow{};0}{lim}⌈frac{1}{hsqrt[3]{8+h}}-frac{1}{2h}⌉
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct46
Incorrect0
Watch More Related Solutions
If the line \( lx+my+n=0\) cuts the ellipse \( \left(\frac{{x}^{2}}{{a}^{2}}\right)+\left(\frac{{y}^{2}}{{b}^{2}}\right)=1\) at points whose eccentric angles differ by \( \frac{\pi }{2}\), then find the value of \( \frac{{a}^{2}{l}^{2}+{b}^{2}{m}^{2}}{{n}^{2}}\).
Let \( {S}_{n} \)denote the sum of first \( n \)terms of an A.P. If \( {S}_{2n}=3{S}_{n}, \)then find the ratio \( {S}_{3n}/{S}_{n}\).
If the sides of a triangle are in G.P., and its largest angle is twice the smallest, then the common
ratio \( r\) satisfies the inequality
a.\( 0\lt r\lt \sqrt{2}\)
b.\( 1\lt r\lt \sqrt{2} \)
c.\( 1\lt r\lt 2\)
d.none of these
Let \( {a}_{1},{a}_{2},{a}_{3}\cdots \cdots \cdots {a}_{11}\) be real numbers satisfying
\( {a}_{1}=15,27-2{a}_{2}\gt 0\;and {a}_{k}=2{a}_{k-1}-{a}_{k-2}\) for \( k=3,4\cdots \cdots \cdots\;11.\)
If \( \frac{{a}_{1}^{2}+{a}_{2}^{2}+\cdots \cdots +{a}_{11}^{2}}{11}=90,\) then the value of \( \frac{{a}_{1}+{a}_{2}+\cdots \cdots +{a}_{11}}{11}\) is equals to _______.
The value of \( sin\left(\frac{\pi }{14}\right)sin\left(\frac{3\pi }{14}\right)sin\left(\frac{5\pi }{14}\right)\) is
Manufacturing cost of a product is\(  9{x}^{2}\) while the company sells it at a rate of 18x + 6.
Find
a.Profit as a function of x by the company.
b.Maximum profit that can be made by company on the product.
Find the incentre of the triangle formed by \( x+y-7=0,\) \( x-y+1=0\)\( x-3y+5=0\).
If \( x=a+b,y=a\omega +b{\omega }^{2}\) and \( z=a{\omega }^{2}+b\omega \), where \( \omega \) is an imaginary cube root of unity,
prove that \( {x}^{2}+{y}^{2}+{z}^{2}=6ab\).
Give two uses of coal-tar.
Let \( f:R\xrightarrow{}\;R\) be such that \( f\left(1\right)=3\;and {f}^{'}\left(1\right)=6.\) Then
\( {\left(lim\right)}_{ x\xrightarrow{}\;0}{\left(\frac{f\left(1+x\right)}{f\left(1\right)}\right)}^{1/x}=\)
A.\(  1\)
B.\( {e}^{\frac{1}{2}}\)
C.\( {e}^{2}\)
D.\( {e}^{3}\)

Load More