If 10x-34 lesser than or equal to f(x) lesser than or equal to x^2+4x-25
then lim f(x) =?
x--3

Question

If 10x-34 lesser than or equal to f(x) lesser than or equal to x^2+4x-25 
then lim f(x) =?
x-->3

myininaya · Answer

squeeze thm for the win!

myininaya · Answer

see if 10(3)-34=(3)^2+4(3)-25
if so, then that will be your answer whatever both of their outputs (as long as those outputs are the same)

myininaya · Answer

if the outputs are not the same, then you can say the information gives me an inconclusive
conclusion as to what lim f(x) is
                              x->3

anonymous · Answer

thanks a lot

anonymous · Answer

Do you know what theorem is that?

myininaya · Answer

squeeze thm is what i said earlier
its still squeeze thm

myininaya · Answer

some people might say the sandwich thm

myininaya · Answer

you have three functions

when the greater function and lesser of the three form a sandwich 
the peanut butter is right their in between
so at that point they have the same limit all three of them

myininaya · Answer

does that make since

myininaya · Answer

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