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...lim_(x->-infinity) (2^x-1/2^x)/(2^x+1/2^x) The limit of a sum is the sum of the limits : = lim_(x...4^x/(1+4^x)-lim_(x->-infinity) 1/(1+4^x) The limit of a quotient is the quotient of the limits ...

1. Intuitively, limit is where the function value tends to when the parameter x tends... to a value when x approaches a, we say the very value the limit of x-->a. Theoretically, we can understand limit in the concept of distance...

...ln兩邊,拉左個1/x落黎,再e both sides 2015-03-09 10:53:06 補充： 原本 Limit 裡面係y=f(x), 用property of log, ln both sides 拉個1/x落黎,再e返佢 2015...

...3x/2)]/x^2 = 2 [sin (3x/2)/x]^2 = 2 [ (3/2) sin (3x/2)/(3x/2)]^2 Since limit sin x/x = 1 when x tends to zero So answer = 2 (3/2)^2 = 9/4. 2...

I would agree 知足常樂 that the limit is not computable (or say undefined) as the function f(x) = sqrt...that is sufficiently close to -inf. Therefore the limit does not exist. If x is tends to...

...x = 1/y, then y->0 as x tends to infinity. So the given limit become lim (siny)/y (write y->0 instead of x->infinity in this step) = 1 2. ...

...digest the question more clearly. What is the limit of integrating x^2 from t to positive infinity with...similarly undefined. Note the use of bracket to ensure the limits are taken one by one.

Find the limit of sqrt(9x^2－2x)－3x when x tends to negative infinity. Sol √(9x^2...