# Using L’Hospital Rule, Evaluate: Lim X → 0 8 X − 4 X 4 X - Mathematics

Sum

Using L’Hospital Rule, evaluate: lim_(x->0)  (8^x - 4^x)/(4x
)

#### Solution

lim_(x-.0) (8^x-4^x)
lim_(x->0)(8^xlog8 - 4^x log 4)

= (8^0 log 8 - 4^0 log 4)/4
=1/4log2

Concept: Definite Integral as the Limit of a Sum
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