Troubled on some kind of limit problem...

**frozenflames** · October 2nd 2009, 01:03 PM

I can't seem to figure out for what value of the constant c is the function f continuous on negative infinity to positive infinity

**TheEmptySet** · October 2nd 2009, 01:45 PM

Originally Posted by frozenflames

I can't seem to figure out for what value of the constant c is the function f continuous on negative infinity to positive infinity

For it to be continous it needs to be continous at b=9

This mean that

$\lim_{b \to 9^-}f(b)=f(9)=\lim_{b \to 9^+}f(b)$

so we need to sove $9c+5=81c-5 \iff 10=72c \iff c=\frac{5}{32}$

**frozenflames** · October 2nd 2009, 01:51 PM

Originally Posted by TheEmptySet

For it to be continous it needs to be continous at b=9

This mean that

$\lim_{b \to 9^-}f(b)=f(9)=\lim_{b \to 9^+}f(b)$

so we need to sove $9c+5=81c-5 \iff 10=72c \iff c=\frac{32}{5}$

I think you did the final part of the math wrong. It should be 10/72 not the other way around right?

**mr fantastic** · October 2nd 2009, 04:50 PM

Originally Posted by frozenflames

I think you did the final part of the math wrong. It should be 10/72 not the other way around right?

You shouldn't need re-assurance on how to solve $10 = 72c$ . The typo is obvious.

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