IITM BS Question 7 - Week 9 Practice

Prasnya

IITM BS Question 7 - Week 9 Practice | Prasnya

00:00

Q7Numerical6 Marks21 Dec 2025

Let f, g be scalar-valued functions defined on

\mathbb{R}^2

\ {(0, 0)} for which the following is known. - f is bounded, i.e., there exist m, M in R such that m <= f(x, y) <= M, for all

(x, y)

\mathbb{R}^2

\ {(0, 0)}. - The function g satisfies -(x^2 + y^2) <= g(x, y) <= (x^2 + y^2) for all

(x, y)

\mathbb{R}^2

\ {(0, 0)}. Find the value of lim_{(x, y) -> (0, 0)} f(x, y)g(x, y).

Your answer

Press Enter to check.

00:00

21 Dec 2025

Mathematics 2 · Week 9

Q7.Let f, g be scalar-valued functions defined on

\mathbb{R}^2

\ {(0, 0)} for which the following is known. - f is bounded, i.e., there exist m, M in R such that m <= f(x, y) <= M, for all

(x, y)

\mathbb{R}^2

\ {(0, 0)}. - The function g satisfies -(x^2 + y^2) <= g(x, y) <= (x^2 + y^2) for all

(x, y)

\mathbb{R}^2

\ {(0, 0)}. Find the value of lim_{(x, y) -> (0, 0)} f(x, y)g(x, y).

Your Answer

Save

Check

Details