Question

Evaluate Limit x -> a x sina - asinx / x - a

Answer 1

Limit x-->a {xsina -asinx}/(x-a)

check which format of limit will be
put x = a
we see that 0/0
so,
differentiate numerator wrt x and denominator wrt x separately .

now,
Limit x-->a {sina -acosx}/(1-0)
now put x =a
we gain finite value e.g (sina-acosa)

so,
( sina -acosa ) is answer

Answer 2

Answer:

Step-by-step explanation:lim x =a xsina - asinx / x-a