Question

Evaluate the question

Answer 1

Here we have a limit with x tending to infinity.


In such cases, we try to bring x in the denominator.

It is because there is a straightforward reason: when x is in the denominator and if x tends to infinity, then the value will become zero.

In mathematical terms,

$\displaystyle \lim_{x \to \infty} \frac{a}{x} = 0 \quad \text{for a = constant}$


Here, we see that we can factor out $x^{10}$ from both the numerator and the denominator.

And then we simply use the above logic.


The final answer is $\bold{\frac{3}{2}}$

The solution is shown in the image.