- #1
jemlove
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Homework Statement
Let v(λ) = ∫0∞ λe-λy f(y)dy
a) Prove that limλ→ ∞ v(λ) = f(0).
b) Determine and prove limλ→ ∞ λ(v(λ)- f(0)).
α β γ δ ε ζ η θ ι κ λ μ ν ξ ο ° π ρ ς σ τ υ φ χ ψ ω Ω ~ ≈ ≠ ≡ ± ≤ ≥ Δ ∇ Σ ∂ ∫ ∏ → ∞
Homework Equations
Assume there exists some constant M where maxx∈ℝ lf(x)l < M, maxx∈ℝ lf'(x)l < M, maxx∈ℝ lf''(x)l < M.
The Attempt at a Solution
I broke up the integral into absolute values and bounded the parts. But then when I tried to find a delta I was left with four parts to the equation without the ability to isolate lambda.