Home/Class 11/Maths/

Question and Answer

Evaluate
\(\lim \limits_{x \to \infty}2^{-x} 
\sin (2^x)\)
.

Answer

\(\lim \limits_{x \to \infty}2^{-x} 
\sin (2^x)\)

\(=\lim \limits_{x \to \infty}\large{\frac{ 
\sin (2^x)}{2^x}}\)

[Let, \(z=2^{-x}\) and as \(x \to \infty \Rightarrow z\to 0\).]
\(=\lim \limits_{z \to 0}z \sin \left(\frac{1}{z}\right)\)
\(=0\).
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
Correct46
Incorrect0
Watch More Related Solutions
The table shows the number of cups of four different beverages sold by a coffee shop. What is the angle of sector representing tea in a pie chart?
Beverage
Number of cups
Coffee60
Tea
75
 Hot chocolate
25
Milk
40


(A) \(40^o\)
(B) \(135^o\)
(C) \(108^o\)
(D) \(72^o\)
Fill in the blanks with the most appropriate words.
I remember an episode in _______ my life when I had to spend _______ month in the country.
(A) a/no article
(B) the/a
(C) no article/an
(D) no article/a
(E) an/the
Lustre is a property of:
(A) metals.
(B) non-metals.
(C) metalloids.
(D) none of the above.
Complete the sentence with the most suitable option:
Mr. Benson, ______________________, shot himself.
(A) That was known to be very rich
(B) Whose firm closed because of complaints
(C) We haven't ever met him
(D) He owns several factories
Who has become the champion of the \(3\)rd Kolkata Open International Grandmasters Chess Tournament?
(A) Srinath Narayanan
(B) Dibyendu Barua
(C) Shyam Sundar M
(D) Deep Sengupta
Which country to host the \(2018\) meeting of the BIMSTEC Sub-Group on Prevention of Illicit Trafficking in Narcotic Drugs, Psychotropic Substances and precursor Chemicals?
(A) Nepal
(B) India
(C) Thailand
(D) Bhutan
Fill in the blanks with themost appropriate word.
You're a brilliant cook! If I _____ cook as well as you, I _____ a restaurant.


(A) Could / would open
(B) Can / will open
(C) Could / will open
(D) Can / would open
Choose the correct option to fill the blank:
Wait here _____ I come back.

(A) till
(B) beside
(C) before
(D) after
The GOBAR-DHAN scheme was launched from which state to promote wealth and energy from waste?
(A) Uttar Pradesh
(B) Punjab
(C) Madhya Pradesh
(D) Haryana
State which of the following are true
(A) \(\frac{5}{8}=\frac{25}{40}\)
(B) \(\frac{6}{7}=\frac{12}{27}\)
(C) \(\frac{2}{7}=\frac{4}{14}\)
(D) \(\frac{-8}{7}=\frac{-72}{56}\)

Load More