Question

`lim_(x→∞)((x + 7)/(x + 2))^(x + 4)` is ______.

विकल्प

• e²

• e³

• e⁴

• e⁵

Answer 1

`lim_(x→∞)((x + 7)/(x + 2))^(x + 4)` is `underlinebb(e^5)`.

Explanation:

`lim_(x→∞)(1 + 5/(x + 2))^(x + 4)`               (1^∞ form)

= `lim_(x→∞) (5(x + 4))/(x + 2)`

= e⁵