2. Let f:1→ R, where is lim [f(x + h) + f(x-h) - 2f(r)] = 0. →0 Does this mean f is continuous at 2. Either prove or disprove by giving a counter example. Phe a continuous bounded function. P
2. Let f:1→ R, where is lim [f(x + h) + f(x-h) - 2f(r)] = 0. →0 Does this mean f is continuous at 2. Either prove or disprove by giving a counter example. Phe a continuous bounded function. P
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![2. Let : I→R, where I is an interval and 2 € I. Suppose
2
lim [f(x+h) + f(x-h) - 2f(x)] = 0.
k-0
Does this mean f is continuous at 2. Either prove or disprove by giving a counter example.
a polynomial of odd degree and q: RR be a continuous bounded function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe742bcfc-6571-4eb6-8020-0d244ddd1492%2Fe96d2c6c-66b7-4483-8837-ce13955bed36%2Fevcx1gk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let : I→R, where I is an interval and 2 € I. Suppose
2
lim [f(x+h) + f(x-h) - 2f(x)] = 0.
k-0
Does this mean f is continuous at 2. Either prove or disprove by giving a counter example.
a polynomial of odd degree and q: RR be a continuous bounded function.
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