Question

limit x tends to 1 (3√x+√x+x√x-3)/(x-1)​

Answer 1

Answer:

using binomial series for small numbers, we have 1+x−−−−−√≈1+0.5x and similar tricks for the other square root term.

Then it is easy to see that both numerator and denominator are x, so the answer is 1.