For any positive rational number k, and any real number c, which of the following is incorrect? a.limxaprochinf c = c b limitxaproch-inf. c = c c.limitxaprochinf c/x^k = 0
d.limitxaproch-inf c/x^k = 0 e. All are correct
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sory i have corrected choice d can u see it plzzzz?
yes i see it
e is the answer
they are all true
plz can u explain it?
c in constant it has one value no matter what x is its a horizontal line
so didn't doesn't matter what x approaches f(x) will always appoach c since f(x)=c.
now what 1/x approach if x approaches infinity?
Wait, I still think d is false. Think about it, as the denominator goes to -infinity, wouldn't it go to 0.
Now 1/0 = infinity
oh k is rational not an integer so that means if we have 1/(x^(1/2)), then x-> -inf,
f wouldn't exist.
if k is integer d is true
no phinx it will go to 0 if the funtion exist for negative numbers
ohhh, I misread
but still d is not true since k is rational
can u plz solve it by steps?
1 / infinity = 0
It has to be d)
Because, the limit does not exist, x^k does not exist for negative numbers, if k is any rational number