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(1) Define the function f : RR by f(x) at a 1. 2-x x<1 x2 x ≥1 Show that f is continuous

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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Question

Use this to solve the problem:Given f : D → R, a ∈ D, if for any sequence(Xn)belong to D st.x->n,as n->infinity,we have f(x)->f(a),then f is continuous at a.

(1) Define the function f : R→ R by f(x)
at a = 1.
2 - x
{2-
x2
x<1
x ≥1\
•
Show that f is continuous

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