# Evaluate? lim (5/(t√(1+t))-5/t) t→0

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The answer must be -2.5, but I'm stuck because we have 5 which is a big number...plz explain when you solve it!

The answer must be -2.5, but I'm stuck because we have 5 which is a big number...plz explain when you solve it!

##### 1 Answer

plugging in 0 directly gives

combine the fractions:

conjugate the numerator:

divide t from the numerator and denominator:

now plug in