Write each answer as an equality, and any decimals up to 7 decimal places. Clearly state the value of and δ (or M or N and δ) in each case. (a)How close to 0 do we need to take x so that (x^2 + 6x + 9) < 9.001 ? (b)How close to −7 do we need to take x so that 1/(x+7)^4 > 10000 ?
Write each answer as an equality, and any decimals up to 7 decimal places. Clearly state the value of and δ (or M or N and δ) in each case. (a)How close to 0 do we need to take x so that (x^2 + 6x + 9) < 9.001 ? (b)How close to −7 do we need to take x so that 1/(x+7)^4 > 10000 ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write each answer as an equality, and any decimals up to 7 decimal places. Clearly state the value of and δ (or M or N and δ) in each case.
(a)How close to 0 do we need to take x so that (x^2 + 6x + 9) < 9.001 ?
(b)How close to −7 do we need to take x so that 1/(x+7)^4 > 10000 ?
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