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Limits L'Hospital's Rule

0 votes

Solve step by step using L'Hospital's Rule.

asked Jan 27, 2015 in CALCULUS by MathGuy Rookie
The given answer is: 1-cos(x) .

1 Answer

0 votes

Step 1:

The expression is  .

 

Rewrite the expression.

image

Simplify the expression.

Trigonometric sum formula: image

image

Rewrite the expression.

image

image

If , then image.

image

Using Trigonometric Property of limits: image.

image

Trigonometric half-angle formula: image.

image

image

Solution:

image

answered Jan 29, 2015 by Lucy Mentor

Please explain:

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