Flow of current decreases proportionately.
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1 - cos x as x approaches 0. what is the cos of 0? It is 1. So as x approaches 0 cos x approaches 1. 1 - 1 = 0 So as it gets very small the solutions gets smaller.
Because infinity is not a number, this question is incorrect. You may think of infinity as something that has no bounds and gets larger and larger.
Dividends don't play into call options. If you sell a covered call and it expires worthless, you'll receive any dividends from the stock because you still own the stock. If it's exercised, the new owner receives them because the stock is hers now. The money that changes hands when you sell a call is the "premium," and the person who sells the call gets that.
The only way I ever learned to find it was to think about it. The function f(x) = log(x) only exists of 'x' is positive. As 'x' gets smaller and smaller, the function asymptotically approaches the y-axis.
This actually depends on the annuity. A "fixed" annuity always gets you the same rate, while the rate of a "variable" annuity is indexed to some other rate, usually the federal prime rate. Rates are variable over the long term. It is possible to lock a steady rate in but it costs more to do so.