limits

JEE Mains Forum › Calculus questions › limits

m,n belongs to I+ then lim xâ†’0 sinXⁿ/(sinX)^m equals to

a. 1 if n<m
b. 0 if n=m
c. n/m
d. 0 if n>m

#Mathematics #Calculus

UP 0 DOWN 0 0 1
Post on FacebookPost anonymously?

1 Answers

Shriya ·2009-06-27 21:58:12

i think it is d
sinxⁿ/(sinx)^m
multiply and divide by xⁿ and x^mwe have
lim _(xâ†’0)x^n-m

case 1
if n<m then limit will be âˆž , ie won't exist
case 2
if n=m then x⁰will be 1 (not zero; as xâ†’0 ,it is not equal to zero)
case 3
if n>m then the limit will be 0

clearly only these cases will exist ,,hence d

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ 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

Close [X]

limits

1 Answers

Your Answer

Add Image

Similar Questions