- #1

- 30

- 0

## Homework Statement

1.lim x->0 (1/sin 2x)-1/2x. the answer is 0.

2.lim x->0 (x^-5*ln x). The answer is -infinity.

## Homework Equations

1.I used L'Hopitals theorem

2.I derived them, than L'hopitals.

## The Attempt at a Solution

1.I only derived only the denominators for it to become (1/2cos2x)-(1/2), apply the 0 and it is (1/2)-(1/2)=0

2.f'(x) (-5x^-6)(1/x).

L'hopital's, f''(x) (30/x^7)or(30x^-7)

since the exponent is negative, is this the reason the answer is negative infinity?