Download App

Limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLimits2 Marks
Question
Find: $\lim\limits_{\text{x}\rightarrow2}[\text{x}]$
✓

Answer

$\lim\limits_{\text{x}\rightarrow0}\ [\text{x}]$ $\lim\limits_{\text{x}\rightarrow2^-}[\text{x}]=1$ $\lim\limits_{\text{x}\rightarrow2^+}[\text{x}]=2$ Thus, $\lim\limits_{\text{x}\rightarrow2}\ [\text{x}]$ does not exist.

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 "(Each question 2 marks)" from Limits→Limits — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If ${ }^n C_9={ }^n C_8$, find ${ }^n C_{17}$
→
Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{3^{2+\text{x}}-9}{\text{x}}$
→
If $\text{a}\in\{2,4,6,9\}$ and $\text{b}\in\{4,6,18,27\},$ then form the set of all ordered pairs (a, b) such that a divides b and a < b.
→
How many A.P.'s with 10 terms are there whose first term is in the set {1, 2, 3} and whose common difference is in the set {1, 2, 3, 4, 5}?
→
If f(x) = $ \left\{ {\begin{array}{*{20}{c}} {|x| + 1} \\ 0 \\ {|x| - 1} \end{array}} \right.\begin{array}{*{20}{c}} {x < 0} \\ {x = 0} \\ {x > 0} \end{array}$ for what values of a does $\mathop {\lim }\limits_{x \to a}$ f(x) exists?
→
In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?
→
In a single throw of a die describe the following events: F = Getting a number not less than 3. Also, find A ∪ B, A ∩ B, B ∩ C, E ∩ F, D ∩ F and F.
→
The $n^{th}$ them of a sequence is given by $\text{a}_\text{n}=2\text{n}^2+\text{n}+1.$ Show that it is not an A.P.
→
Find the equation of hyperbola which has Foci $(0, \pm \sqrt {10} )$ and passing through $(2, 3)$
→
Find the ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, - 5, 8).
→