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Consider the following function: x² + 3x + 1, x < 0 f(x) = 1+arcsinæ, x > 0 Without using a graph, determine whether f is continuous at x = 0 and whether fis differentiable at x = 0. Your answer must include a mathematical justification as well as a one-sentence summary. You may attach your work here or at the =

Consider the following function: x² + 3x + 1, x < 0 f(x) = 1+arcsinæ, x > 0 Without using a graph, determine whether f is continuous at x = 0 and whether fis differentiable at x = 0. Your answer must include a mathematical justification as well as a one-sentence summary. You may attach your work here or at the =

Advanced Engineering Mathematics
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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Consider the following function: x² + 3x + 1, x < 0 f(x) = 1+arcsin x x > 0 Without using a graph, determine whether ƒ is continuous at x = 0 and whether fis differentiable at x = 0. Your answer must include a mathematical justification as well as a one-sentence summary. You may attach your work here or at the =
Transcribed Image Text:Consider the following function: x² + 3x + 1, x < 0 f(x) = 1+arcsin x x > 0 Without using a graph, determine whether ƒ is continuous at x = 0 and whether fis differentiable at x = 0. Your answer must include a mathematical justification as well as a one-sentence summary. You may attach your work here or at the =
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