Hi I would like to know if anyone can help me or guide me through the steps to the answers to these questions? I am fairy new to advanced mathematics and I am finding it a bit difficult to understand some topics...sigh... ur help would be greatly appreciated

1. Determine the limit from first prinicples by evaluating the function at values about the indicated limiting value.

lim [(x^3) - x]/(x-1)

x-->1

2. Evaluate;

lim [2- √(x+2)] / (x-2)

x-->2

3. A 5-Ω resistor and a variable resistor of resistance R are placed in parallel. The expression for the resulting resistance, Rτ, is given by

Rτ= 5R/ (5 +R). Determine the limiting value of Rτ as R-->.(Use L'Hopital's Rule)