Math Help - Limits

Assuming the result lim x approaches 0 (sinx)/(x) = 1, evalute

1) lim x approaches 0 (1-cosx)/(x)

2) lim x approaches 0 (1-cosx)(x^2)

3) lim x approaches 0 (tanx-sinx)/(x^3)

Can anyone help, I would appreciate it. My trig is horrible.

Originally Posted by sderosa518

Assuming the result lim x approaches 0 (sinx)/(x) = 1, evalute

1) lim x approaches 0 (1-cosx)/(x)

2) lim x approaches 0 (1-cosx)(x^2)

3) lim x approaches 0 (tanx-sinx)/(x^3)

Can anyone help, I would appreciate it. My trig is horrible.

Remember that you can use l-hopitals rule for indeterminate forms. Have you tried that?

Here's an example, number 1 should be easy enough for you if you apply l-hopitals rule, here is the second limit:





As you can see, there isn't much trig involved in that one. It's just l-hopitals rule.

You can use L'Hopital's rule. For (2) You can use the property of



to solve for the limit after doing L'Hopital's rule.

Hello, sderosa518!

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