OP Malhotra Class 12 Maths Solutions Chapter 9 Indeterminate Forms of Limits Chapter Test

Students often turn to OP Malhotra Maths Class 12 Solutions Chapter 9 Indeterminate Forms of Limits Chapter Test to clarify doubts and improve problem-solving skills.

S Chand Class 12 ICSE Maths Solutions Chapter 9 Indeterminate Forms of Limits Chapter Test

Question 1.
\(\lim _{x \rightarrow 0} \frac{e^{2 x}-1}{x}\)
Solution:

Question 2.
\(\lim _{x \rightarrow \frac{\pi}{2}} \frac{\sec x}{1+\tan x}\)
Solution:

Question 3.
\(\lim _{x \rightarrow \infty} \frac{x-2 x^2}{3 x^2+5 x}\)
Solution:

Question 4.
\(\lim _{x \rightarrow 0} \frac{\sin x-x}{x^2}\)
Solution:

Question 5.
\(\lim _{\theta \rightarrow 0} \frac{1-\cos \theta}{\theta^2}\)
Solution:

Question 6.
\(\lim _{x \rightarrow 0} \frac{e^x-(1+x)}{x^2}\)
Solution:

Question 7.
\(\lim _{x \rightarrow 1} \frac{1+\log x-x}{1-2 x+x^2}\)
Solution:

Question 8.
\(\lim _{x \rightarrow 0}(\cot x)^{\frac{1}{\log x}}\)
Solution:

Question 9.
\(\lim _{x \rightarrow 0}(1-2 x)^{1 / x}\)
Solution:

Question 10.
\(\lim _{x \rightarrow 0}(1-2 x)^{1 / x}\)
Solution: