Question

how do i find the limit of ((e^x)-(e^3x))/4x

Answer 1

If you mean the limit as x goes to 0 then you can use l'hopital's rule.

Answer 2

yes
you use l'hopitals rule for indeterminate forms - here if we plug in x = 0 then the function = 0/0
are you familiar with l'hopital's rule?

Answer 3

no :\

Answer 4

just take the derivative of the numerator and divide by the derivative of the denominator and plug x=0 in the result to get the limit.

Answer 5

differentiate numerator and denominator

Answer 6

check the link

http://tutorial.math.lamar.edu/Classes/CalcI/LHospitalsRule.aspx

Answer 7

is -1/2 the correct answer?

Answer 8

yes