Find limit as h approaches 0 of (e^(x(h+2)^2)-e^(4x))/(h)

Celinamg8

Celinamg8

Answered question

2022-09-26

Find limit as h approaches 0 of
e x ( h + 2 ) 2 e 4 x h

Answer & Explanation

r2t1orrso

r2t1orrso

Beginner2022-09-27Added 8 answers

Consider the function f ( x , y ) = x y 2 . Its partial derivative at y = 2 is given by
lim y 2 = e x y 2 e 4 x y 2 .
Putting h=y−2 transforms the limit to
lim h 0 = e x ( h + 2 ) 2 e 4 x h = f ( x , y ) y | y = 2 = .

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