Use lhospitals rule to find the limit limit as y approaches
Use l\'hospitals rule to find the limit.
limit as y approaches 0
(sqrt(3y+16)-4)/y
limit as y approaches 0
(sqrt(3y+16)-4)/y
Solution
given limit is in indeterminate form 0/0 so applying l hospital rule differentiate both numerator and denominator wrt y differentiation of numerator gives (1/2*sqrt(3y+16)*3 and differentiation of denominator gives 1 hence limit =3/8