- #1
Jacobpm64
- 239
- 0
Find a value of the constant k such that the limit exists.
lim (x2 - kx + 4) / (x - 1)
x->1
We could do...
just try number until it factors nicely..
k would equal 5.. to give us
x2-5x+4 = (x-1)(x-4)
the (x-1) would cancel .. leaving just x-4.. and the limit would be 1-4 = -3...
Is there an easier way of doing this than just guessing to try to figure out which value of k would make the polynomial factor nicely so that it would cancel with the factor in the denominator? Because, some of the other problems in this section get a little too tough to just be able to spit out the answer...
lim (x2 - kx + 4) / (x - 1)
x->1
We could do...
just try number until it factors nicely..
k would equal 5.. to give us
x2-5x+4 = (x-1)(x-4)
the (x-1) would cancel .. leaving just x-4.. and the limit would be 1-4 = -3...
Is there an easier way of doing this than just guessing to try to figure out which value of k would make the polynomial factor nicely so that it would cancel with the factor in the denominator? Because, some of the other problems in this section get a little too tough to just be able to spit out the answer...