How do you find the limit of # (4t – 2t)/(t) # as t approaches 0?

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Answer 1 · 2016-01-29T05:59:41

#2#

The question can be written as

#lim_(trarr0)(4t-2t)/t#

Simplify the numerator.

#lim_(trarr0)(2t)/t#

Notice that the #t# terms will cancel.

#lim_(trarr0)2=2#

The function should approach #2#. We can check a graph:

graph{(4x-2x)/x [-5.11, 5.99, -1.88, 3.67]}

Notice that #t=0# is undefined.