Question

what are various properties of limits

Answer 1

are u preparing for iit?

Answer 2

lim [f(x) + g(x)] = lim f(x) + lim g(x)
x>a x>a x>a

Answer 3

lim c = c
x>a

Answer 4

lim [f(x)g(x)] = lim f(x) . lim g(x)
x>a x>a x>a

Answer 5

lim [f(x)/g(x)] = lim f(x) / lim g(x)
x>a x>a x>a

Answer 6

A function f is continuous at x=a if
1) f(a) exists
2) lim f(x) exists
x>a
3) lim f(x) = f(a)
x>a