Sec 2.5: CONTINUITY. Study continuity at x = 4 Sec 2.5: CONTINUITY Study continuity at x = 2.

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Presentation transcript:

Sec 2.5: CONTINUITY

Study continuity at x = 4

Sec 2.5: CONTINUITY Study continuity at x = 2

Sec 2.5: CONTINUITY Study continuity at x = 2

Sec 2.5: CONTINUITY Study continuity at x = -2

Sec 2.5: CONTINUITY Cont at a Cont from right at a Cont from left at a

Three Types of Discontinuities removable discontinuity jump discontinuity infinite discontinuity Which condition s

Three Types of Discontinuities

Sec 2.5: CONTINUITY Continuous on [a, b]

Sec 2.5: CONTINUITY The inverse function of any continuous one-to-one function is also continuous.

Sec 2.5: CONTINUITY

continuous

Sec 2.5: CONTINUITY

One use of the Intermediate Value Theorem is in locating roots of equations as in the following example. Sec 2.5: CONTINUITY

H R H H H R

H R H R H H

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