Question

what is this limit

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

Answer 1

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

Answer 2

0

Answer 3

mertsj do you mind demonstrating that please?

Answer 4

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

Answer 5

ok thanks would you mind helping me with this one also

Answer 6

\[\lim_{x \rightarrow -7}(x^2 + 10x + 21/x + 7)\]

i've got -98/0. i dont know what to do from there

Answer 7

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

Answer 8

Factor and reduce first

Answer 9

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

Answer 10

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

Answer 11

yes

Answer 12

Now replace the x with -7

Answer 13

i see.

Answer 14

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

Answer 15

same approach again right? factor and reduce?

Answer 16

yes

Answer 17

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

Answer 18

is that the right structure