Advertisements
Advertisements
Question
Choose the correct alternative:
The value of the limit `lim_(x -> 0) (cot x - 1/x)` is
Options
0
1
2
`oo`
Solution
`oo`
APPEARS IN
RELATED QUESTIONS
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 0) (1 - cosx)/x^2`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x - oo) (2x^2 - 3)/(x^2 -5x + 3)`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> oo) x/logx`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> oo) "e"^-x sqrt(x)`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 0) (1/sinx - 1/x)`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 1^+) (2/(x^2 - 1) - x/(x - 1))`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 0^+) x^x`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> pi/2) (sin x)^tanx`
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x -> 0^+) (cos x)^(1/x^2)`
Evaluate the following limits, if necessary use l’Hôpital Rule:
If an initial amount A0 of money is invested at an interest rate r compounded n times a year, the value of the investment after t years is A = `"A"_0 (1 + "r"/"n")^"nt"`. If the interest is compounded continuously, (that is as n → ∞), show that the amount after t years is A = A0ert
