A gain and A gain.
Daniel is learning the techniques to evaluate and , types of limit problems. One of the technique that he recently learned is L'Hôpital's rule .
After solving some of the problems using only this technique. He tries to solve the above limit problem.
Will he be able to solve the problem above only using the technique that he learnt?
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1 solution
No , because the process is recursive as follows:
x → ∞ lim x 2 − 1 x = x → ∞ lim L’H o ˆ pital’s x x 2 − 1 = x → ∞ lim L’H o ˆ pital’s x 2 − 1 x = x → ∞ lim L’H o ˆ pital’s x x 2 − 1 = ⋯
The limit can be easily solved as x → ∞ lim x 2 − 1 x = x → ∞ lim 1 − x 2 1 1 = 1 .