Download App

Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
Question
Find:
$\lim\limits_{\text{x}\rightarrow\frac{5}{2}}[\text{x}]$
✓

Answer

$\lim\limits_{\text{x}\rightarrow\frac52}\ [\text{x}]$
$\lim\limits_{\text{x}\rightarrow\frac{5^+}{2}}[\text{x}]=2$
$\lim\limits_{\text{x}\rightarrow\frac{5^-}{2}}[\text{x}]=2$
$\Rightarrow\lim\limits_{\text{x}\rightarrow\frac{5}{2}}\ [\text{x}]=2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Limits→Limits — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{\infty}}\frac{3\text{x}^2-4\text{x}^2+6\text{x}-1}{2\text{x}^3+\text{x}^2-5\text{x}+7}$
→
Prove that:
$1+\cos^22\text{x}=2(\cos^4\text{x}+\sin^4\text{x})$
→
Find the value of $(1.01)^5$, correct upto three places of decimals.
→
Determine the domain and range of the following relations.

R = {(a, b) / b = |a – 1|, a ∈ Z, |a| < 3}

→
Find the square root of the following complex numbers:
$8-6\text{i}$
→
Find the centre and radius of the following circles:
$\text{x}^2+\text{y}^2-\text{x}+2\text{y}-3=0$
→
Using properties of determinant, show that :

$\left|\begin{array}{ccc}1 & \log _x y & \log _x z \\ \log _y x & 1 & \log _y z \\ \log _2 x & \log _x y & 1\end{array}\right|=0$

→
Convert the following products into factorials:
(n + 1)(n + 1)(n + 1) ... (2n)
→
If $A=\left[\begin{array}{ccc}2 & 3 & -1 \\ 4 & 7 & 5\end{array}\right], B=\left[\begin{array}{ccc}1 & 3 & 2 \\ 4 & 6 & -1\end{array}\right]$ and
$C=\left[\begin{array}{ccc}1 & -1 & 6 \\ 0 & 2 & -5\end{array}\right]$, find the matrix $X$ such that
$
3 \mathrm{~A}-2 \mathrm{~B}+4 \mathrm{X}=5 \mathrm{C} \text {. }
$
→
In a $\triangle\text{ABC},$ if $a = 5, b = 6$ and $C = 60^\circ $​​​​​​​, show that its area is $\frac{15\sqrt{3}}{2}\text{ sq. units.}$
→