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

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

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Answer 1 · 2015-10-30T00:22:17

#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#

Explanation:

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

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