, where P ( x ) is polynomial of degree n and Q ( x ) is polynomial of degree 7. Then the value of n + 7 + k + lim x → ∞ Q ( x ) P ( x ) is :

Question

, where P ( x ) is polynomial of degree n and Q ( x ) is polynomial of degree 7. Then the value of n + 7 + k + lim x → ∞ ​ Q ( x ) P ( x ) ​ is :

TestHub · Accepted Answer

∫ P ( x ) e k x d x = Q ( x ) e 4 x + C d.w.r. to x P ( x ) e kx = 4 Q ( x ) e 4 x + e 4 x Q ′ ( x ) Q ( x ) P ( x ) ​ = 4 + Q ( x ) Q ′ ( x ) ​ ⇒ k = 4 ⇒ n = 4 ⇒ lim x → ∞ ​ Q ( x ) P ( x ) ​ = 4

Mathematics - Indefinite Integration Question with Solution | TestHub

Options:

Doubts & Discussion