MCQ
$\lim_\limits{\text{x} \rightarrow \text{a}}\frac{1}{(\text{x}-\text{a})^{2\text{n}-1}}(\text{n ϵ N})$ equals:
- A$ \infty$
- B$ -\infty$
- C0
- Ddoes not exist
Solution:
Left hand limit is$\lim_\limits{\text{x} \rightarrow \text{a}}\frac{1}{(\text{x}-\text{a})^{2\text{n}-1}}=-\infty$
And Right hand limit is $\lim_\limits{\text{x} \rightarrow \text{a}}\frac{1}{(\text{x}-\text{a})^{2\text{n}-1}}=+\infty$
$\text{L.H.L.}\neq \text{R.H.L.}$
Therefore, the given limit does not exist.
Hence, the option D is correct.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is: