Some Standard limits

1. lim x→a x = a

2. lim x→a kx = ka, k Є R

3. lim x→a x^k = a^k , k Є R

4. lim x→a k = k


5. lim x→a (x^k –a^k )/(x-a) = na^n-1, nk Є N

6. lim x→a sin x = sin α

7. lim x→a cos x = cos α

8. lim x→a (sin x)/x = 1, where x is measured in radians