Limits

Question 1

Lim x->0 [(sin x)/x]

Answer 1

=1

Question 2

Lim x->0 [(1 - cos x)/x]

Answer 2

0

Question 3

Lim x->infinity [(f(x) - f(a)) / (x - a)]

Answer 3

F’(x)

Question 4

Lim x->0 [(f(x + h) - f(x))/ (h)]

Answer 4

F’(x)

Question 5

If lim x->a f(x) = L and lim x-> a g(x) = M then

Answer 5

Lim x->a (f(x)/g(x)) = L/M