Question

Eveluate Lim x=a √2x-√3x-a/√x-√a

Answer 1

Answer:

Correct option is A)

lim

x→a

3a+x

−2

x

a+2x

−

3x

lim

x→a

a+2x

−

3x

a+2x

+

3x

a+2x

+

3x

3a+x

−2

x

1

3a+x

+2

x

3a+x

+2

x

lim

x→a

[(3a+x)−4x]

[(a+2x)−3x]

⋅

a+2x

+

3x

3a+x

+2

x

lim

x→a

(3a−3x)

(a−x)

⋅

a+2x

+

3x

3a+x

+2

x

lim

x→a

3

1

⋅

a+2x

+

3x

3a+x

+2

x

=

3

1

(

3a

+

3a

)

(

4a

+2

a

)

=

3

1

⋅

3

2

=

3

3

2