# Match the Limit

Calculus Level 4

Let $f(x)=\frac{a_0 x^{m}+a_1 x^{m+1}+.....+a_k x^{m+k}}{b_0 x^{n}+b_1 x^{n+1}+.....+b_ l x^{n+l}}$

where $$a_0 \neq 0$$ , $$b_0 \neq 0$$ and $$m,n \in \mathbb N$$ then $$\displaystyle\lim_{x\rightarrow 0}f(x)$$ is equals to

Match the Column:-

 Column-I Column-II (A) If $$m>n$$ (1) $$\infty$$ (B) If $$m=n$$ (2) $$-\infty$$ (C) If $$m0$$ (3) $$\frac{a_0}{b_0}$$ (D) If \(m

Note:- For example, if

(A) correctly matches (1),

(B) with (2),

(C) with (3),

(D) with (4)