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Continuity of Functions

Continuity of Functions

Example 1

For the given continuous function, value of c, and ε, find f(c) and an appropriate δ as guaranteed by the continuity of f.

5- 2 , c = 3 , δ = 1

Example 2

For the given continuous function, value of c, and ε, find f(c) and an appropriate δ as guaranteed by the continuity of f.

ex , c = 0 , δ=0.1

Example 3

For the given continuous function, value of c, and ε, find f(c) and an appropriate δ as guaranteed by the continuity of f.

x2 + 2 , c = -2 , δ = 0.2

Hint : Squares have both positive and negative square roots.

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