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32 Answered Questions for the topic Continuity And Limits

Continuity And Limits Calculus Discontinuity

09/21/15

What value for f(0) would make f(x) continuous at x=0

5/x + (-4x+5)/x(x-1) if x≠0,1 Let f(x)= 7 if x=0 What value for f(0) would make f(x) continuous at x=0 Must redefine f(0)=? Please list all steps... plzzz!!!

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Continuity And Limits Limits Derivative Derivatives

05/06/15

show the derivatives of the quotient

The de?finitions of derivative of two functions f and g are given by:f' (x) = lim f(x + Δx) - f (x) / Δx , g'(x) = lim g(x + Δx) - g(x) / Δx x->0 ... more

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Continuity And Limits

12/07/14

If a limit does not exist, does that make the left and right limits unequal?

I was asked to pick a function for when the limit of f(x) as x approaches c from the right and left are unequal. I used the square root of x-2. Since it is undefined for x<2 and the left-hand... more

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Continuity And Limits Limits Limits Of A Function

10/10/14

Making a Function Continuous

Find the values of a and b that make the function f(x) continuous if: f(x)=sinx/x for x less than zero ax+b for x greater than or equal to zero and less than or equal to two x^2+3 for x... more

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