IITM BS Question 18 - Week 9 Practice

Prasnya

IITM BS Question 18 - Week 9 Practice | Prasnya

00:00

Q18Comprehension2 Marks31 Aug 2025

Passage

Based on the above data, answer the given subquestions. Consider the function

f: \mathbb{R}^2 \to \mathbb{R}

defined by

f(x, y) = \begin{cases} \frac{xy^3}{x^2 + y^6} & \text{if } (x, y) \neq (0, 0) \\ 0 & \text{if } (x, y) = (0, 0) \end{cases}

Find the limit of f at

(0, 0)

along the curve {(y^3, y) | y in R}.

Your answer

Press Enter to check.

Q18

00:00

31 Aug 2025

Mathematics 2 · Week 9

Q18.Find the limit of f at

(0, 0)

along the curve {(y^3, y) | y in R}.@passage

Your Answer

Save

Read

Check

Details