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Mathematics 19 Online
OpenStudy (anonymous):

what is this limit \[\lim_{x \rightarrow \pi/2}(xcosx)\]

OpenStudy (anonymous):

\[\lim_{x \rightarrow \pi/2}(xcosx)\]

OpenStudy (mertsj):

0

OpenStudy (anonymous):

mertsj do you mind demonstrating that please?

OpenStudy (mertsj):

pi/2times cospi/2=pi/2times 0 = 0

OpenStudy (anonymous):

ok thanks would you mind helping me with this one also

OpenStudy (anonymous):

\[\lim_{x \rightarrow -7}(x^2 + 10x + 21/x + 7)\] i've got -98/0. i dont know what to do from there

OpenStudy (mertsj):

You can't divide by 0 so divide numerator so another approach is needed.

OpenStudy (mertsj):

Factor and reduce first

OpenStudy (anonymous):

ok i was thinking along the lines as approach -7 from left and right

OpenStudy (anonymous):

(x+7)(x+3)/(x+7)...so the x + 7 cancels and im left with x + 3

OpenStudy (mertsj):

yes

OpenStudy (mertsj):

Now replace the x with -7

OpenStudy (anonymous):

i see.

OpenStudy (anonymous):

i have this one that is somewhat similar but you end up with 0/0 \[\lim_{x \rightarrow 1}(x^2 - 4x + 3/ x^2 + 2x -3)\]

OpenStudy (anonymous):

same approach again right? factor and reduce?

OpenStudy (mertsj):

yes

OpenStudy (anonymous):

(x-3)(x-1)/ (x-3)(x+1)...?

OpenStudy (anonymous):

is that the right structure

OpenStudy (mertsj):

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