Question

evaluate lim x tending to 0 (a+x)^2 sin(a+x) - a^2 sina/x​

Answer 1

Step-by-step explanation:

x→0

lim

x

(a+x)

2

sin(a+x)−a

2

sina

Using L-Hospital rule

=

x→0

lim

2(a+x)sin(a+x)+(a+x)

2

cos(a+x)

=2asina+a

2

cosa