Question

Evaluate lim x^0 3^x -2^x÷x​

Answer 1

Answer:

Correct option is C)

x→0

lt

x

(1+x)

1/x

−e

=

x→0

lt

1

(1+x)

1/x

[

1+x

x

−ln(x+1)]/x

2

=

x→0

lt

2x

e(

(1+x)

2

(1+x)−x

−

(x+1)

1

)

=e

x→0

lt

(x+1)

2

×2x

1−(x+1)

e

x→0

lt

(x+1)

2

2x

x

=−e

x→0

lt

(x+1)

2

×2x

x

=

2

−e