Find the limit of the function by using direct substitution.

Question

anonymous · Answer

attachment

anonymous · Answer

@ajprincess @chihiroasleaf @hartnn @ParthKohli @phi @RadEn @satellite73 @sauravshakya @nitz

anonymous · Answer

is it clear that this means replace $x$ by $\frac{\pi}{2}$ and compute?

anonymous · Answer

yes, but i dont understand where to go from there

phi · Answer

what is sin(pi/2)  pi/2 is 90 degrees

anonymous · Answer

write it , that is all
well you might want to compute $\sin(\frac{\pi}{2})=1$

anonymous · Answer

what about this one?

phi · Answer

you could rewrite it as
x^2/x^4  + 3/x^4

phi · Answer

the first fraction x^2/x^4  simplifies to 1/x^2

(not that it matters...)

as x gets closer and closer to 0, what is 1/x^2   (it is getting closer and closer to 1/0

1/0 is undefined,  but 1/tiny number is a big number.   people say  it approaches + infinity

phi · Answer

the same for 3/0

anonymous · Answer

replace $x$ by $0$ get $\frac{3}{0}$ so forget it
if you got $\frac{0}{0}$ you might find a limit by doing more work, but if you get $\frac{a}{0}$ for non zero $a$ then say "no limit"