How do I solve the following using trig substitutions? (x^2)/((25-x^2)^3/2)
Rewrite the problem as follows:
Use Trigonometric SIN substitution
Consider the denominator part [DR] of our problem:
We use the following trigonometric relationship to simplify further:
The above expression reduces to
We already have
Using the above relationship we obtain
Reduce further:
Using x-substitution
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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