JAMIA 2024 — Mathematics PYQ

Q: How do I solve JAMIA 2024 Mathematics questions?

Practice JAMIA 2024 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of JAMIA Mathematics questions?

JAMIA Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are JAMIA previous year papers available for free?

Yes. Mathem Solvex provides free access to JAMIA previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

JAMIA 2024 — Mathematics PYQ

JAMIA | Mathematics | 2024

What is the value of $x \to 0 lim \frac{x tan x}{cot x} ?$

Choose the correct answer:

Explanation

Solution

Given the expression:

\lim_{x \to 0} \frac{x \tan x}{\cot x}

1. Use the Reciprocal Identity

Recall that $\cot x = \frac{1}{\tan x}$ . Substitute this into the equation:

\lim_{x \to 0} \frac{x \tan x}{\frac{1}{\tan x}}

2. Simplify the Fraction

When you divide by a fraction, you multiply by its reciprocal:

\lim_{x \to 0} (x \tan x \cdot \tan x)

\lim_{x \to 0} (x \tan^2 x)

3. Evaluate the Limit

Now, substitute $x = 0$ into the simplified expression:

0 \cdot \tan^2(0)

Since $\tan(0) = 0$ , the expression becomes:

0 \cdot 0 = 0

Final Answer

\lim_{x \to 0} \frac{x \tan x}{\cot x} = 0

Choose the correct answer:

Explore More