Match the Limit
Calculus
Level
3
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 \(m<n\) and \(n-m\) is even , \(\frac{a_0}{b_0}>0\) | (3) \(\frac{a_0}{b_0}\) |
| (D) If \(m<n\) and \(n-m\) is even , \(\frac{a_0}{b_0}<0\) | (4) \(0\) |
Note:- For example, if
(A) correctly matches (1),
(B) with (2),
(C) with (3),
(D) with (4)
then answer as 1234.
by
Yash Dev Lamba