Q10Numerical6 Marks21 Dec 2025Let fff be a scalar-valued function defined on R2∖{(0,0)}\mathbb{R}^2 \setminus \{(0, 0)\}R2∖{(0,0)} such that lim(x,y)→(0,0)f(x,y)=3\lim_{(x, y) \to (0, 0)} f(x, y) = 3lim(x,y)→(0,0)f(x,y)=3. Let g:R→Rg: \mathbb{R} \to \mathbb{R}g:R→R be the one-variable function defined by g(t)=t2g(t) = t^2g(t)=t2, for all t∈Rt \in \mathbb{R}t∈R. Find the value of lim(x,y)→(0,0)(g∘f)(x,y)\lim_{(x, y) \to (0, 0)} (g \circ f)(x, y)lim(x,y)→(0,0)(g∘f)(x,y).Your answerPress Enter to check.
