Question

$\displaystyle \lim_{x \to 0} \frac{(x+1)^5-1}{x-2}$


Don't use binomial therom concept.

Solve it fast!​

Answer 1

Answer:

At the very first sight when I saw this question, I thought, "Man! Is this crazy!? I'll simply use the Binomial expansion and solve it further. And since there are 5 Xs in the numerator and only one in the denominator, the actual answer will be 0"

But...

As I continued reading, "Don't use Binomial concept"

"Oh my god! "

This is... Ground breaking. I didn't even expect such limit question.

Then secondly I would like to use THE L HOSPITAL RULE, but it would be a cheating because you don't know about it.

Anyway... This question was super interesting, and thanks for that.

Step-by-step explanation:

Check the attachment for your answer

And here is a notice (and request) for you, My friend...

If you have more interesting mathematical problems, then please mail me at:-

[email protected]

I'm a 10th graded student and I love learning mathematics. So I keep learning new topics. So please email me your problems.

This will be helpful for both of us.

And don't be worried about the standard of the problem. Even if I'm a 10th graded student, I would solve ANYTHING.

Just share.