Limit of a function

[tinaskrd]

Hey guys! Can anyone help me out with this one?If f is a continuous function at R and lim [ (f(2x -5) -3)/(x-2) ] = 14 when x --> 2, find the lim [( f(x)- f(-1) ) / (x + 1) ] when x --> - 1

 

[Deleted member 4993]

Hey guys! Can anyone help me out with this one?If f is a continuous function at R and lim [ (f(2x -5) -3)/(x-2) ] = 14 when x --> 2, find the lim [( f(x)- f(-1) ) / (x + 1) ] when x --> - 1

Can you simplify:

​

f(2x-5) - 3 = ? @ x = 2​

Please show us what you have tried and exactly where you are stuck.

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[Dr.Peterson]

Hey guys! Can anyone help me out with this one?If f is a continuous function at R and lim [ (f(2x -5) -3)/(x-2) ] = 14 when x --> 2, find the lim [( f(x)- f(-1) ) / (x + 1) ] when x --> - 1

Does the form of either limit remind you of the definition of the derivative? Maybe you can use that ...

 

[Steven G]

Definitely use Dr Peterson's hint.
Another hint is to think about what f(2x-5) - 3 must be in the form of in order for that limit to equal 14.