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What is #lim_(t-> 0) (1/t -1/t^2-t)#?

Answer 1

#lim_{x to 0}(1/t-1/t^2-t)=lim_{x to 0}(t-1-t^3)/t^2=lim_{x to 0}-1/t^2=-infty#

In cases one has to deal with sums of powers and fraction of powers which lead to the indeterminate form #infty - infty#, it's often a good idea to reduce the expression to a big, unique fraction.

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Answer 2

Charles Arocha

The limit of (1/t - 1/t^2 - t) as t approaches 0 is equal to -1.

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Answer from HIX Tutor

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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What is #lim_(t-&gt; 0) (1/t -1/t^2-t)#?

What is #lim_(t-> 0) (1/t -1/t^2-t)#?