solve!!!

lim_{xâ†’âˆž}(³√(x+a)(x+b)(x+c) - x) = ??

5 Answers

d ans is ZERO or 0

limxâ†’âˆž ³âˆšx³(1+a/x)(1+b/x)(1+c/x)-x
(x)³âˆš1-x
= x-x
=0

No Akand!

We have done this type quite often yaar....

see as xâ†’âˆž GM â†’ AM ............... i.e. wen x is almost infinity AM = GM = HM can b taken!

³√(x+a)(x+b)(x+c) = (x+a + x+b + x+c)/3

==> x + (a+b+c)/3 - x

== (a+b+c)/3

ohk...[1]

yep ... gordo solved a similar question in a similar fashion ........ or tapan ...... howz life??????

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω