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Continuity ( Section 1.8)

Continuity ( Section 1.8)

Continuity ( Section 1.8). Alex Karassev. Definition. A function f is continuous at a number a if Thus, we can use direct substitution to compute the limit of function that is continuous at a. Some remarks. Definition of continuity requires three things:

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383 views • 28 slides
Continuity ( Section 1.8)

Continuity ( Section 1.8)

Continuity ( Section 1.8). Alex Karassev. Definition. A function f is continuous at a number a if Thus, we can use direct substitution to compute the limit of function that is continuous at a. Some remarks. Definition of continuity requires three things:

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398 views • 28 slides
Continuity

Continuity

Continuity. Alex Karassev. Definition. A function f is continuous at a number a if Thus, we can use direct substitution to compute the limit of function that is continuous at a. Some remarks. Definition of continuity requires three things: f(a) is defined (i.e. a is in the domain of f)

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307 views • 28 slides
Continuity ( Section 1.8)

Continuity ( Section 1.8)

Continuity ( Section 1.8). Alex Karassev. Definition. A function f is continuous at a number a if Thus, we can use direct substitution to compute the limit of function that is continuous at a. Some remarks. Definition of continuity requires three things:

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290 views • 28 slides
Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem. Alex Karassev. River and Road. River and Road. Definitions. A solution of equation is also called a root of equation A number c such that f(c)=0 is called a root of function f. Intermediate Value Theorem (IVT). f is continuous on [a,b]

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886 views • 20 slides

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