- The Problem Uses The Following Definitions 1 (30.46 KiB) Viewed 18 times
The problem uses the following definitions
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The problem uses the following definitions
The problem uses the following definitions
Definition. 1. We write limx→a f(x) = ∞ if for every N there is a > 0 such that: if 0 < r - a| < 8, then f(x) > N. 2. We write lim+a+ f(x) = L if for every € there is a d > 0 such that: if a < x < a+6, then |ƒ(x) — L| < €. 3. We write lima- f(x) = L if for every & there is a 8 >0 such that: if a-8 < x < a, then |ƒ (x) − L| < €. Prove: limx→3 (2-3)² = ∞0. 1
Definition. 1. We write limx→a f(x) = ∞ if for every N there is a > 0 such that: if 0 < r - a| < 8, then f(x) > N. 2. We write lim+a+ f(x) = L if for every € there is a d > 0 such that: if a < x < a+6, then |ƒ(x) — L| < €. 3. We write lima- f(x) = L if for every & there is a 8 >0 such that: if a-8 < x < a, then |ƒ (x) − L| < €. Prove: limx→3 (2-3)² = ∞0. 1