Question

4. Use L'Hospital's rule to find (i) lim
lim! 1 +a /x whole power is x​

Answer 1

Answer:

Step-by-step explanation:

Lim x-> ∞  (1+ a/x)^x

taking natural log

Ln(Lim x-> ∞)= Ln  (1+ a/x)^x

= Lim x-> ∞  d/dx( ln( 1+1+a/x) / d/dx(1/x)

=Lim x-> ∞ 1/(1+a/x) / -1/x^2

= Lim x-> ∞ a/(a+a/x) = a

so Ln Lim x-> ∞ =a

Lim F for x-> ∞ = e power a