If x --> 0+ (x tends to zero from the right), then its logarithm tends to minus infinity. On the other hand, x --> 0- (x tends to zero from the left) makes no sense, at least for real numbers, because the logarithm of negative numbers is undefined.
In maths, it tends to be short for divided by, although this may not always be the case.
If graphed in standard form (for example, x-axis is horizontal, with increasing values towards the right):The function value increases from left to right (it is strictly increasing monotonic).The function is concave upwards (its slope increases from left to right).It crosses the y-axis a y = 1.Values are always positive.Towards the left, values get closer and closer to zero, but never quite reach it (if x tends towards minus infinity, y tends towards zero).Towards the right, the function value is unbounded (if x tends towards plus infinity, y tends towards plus infinity).
Limit as x tends to ∞: x/e^xAs you can see, as x approaches infinity, the sum becomes ∞/∞. Now we use l'Hospitals rules.d/dx(x) = 1 (Derivative)d/dx(e^x) = e^x (Derivative)therefore, the sum can be written as lim x tends to ∞ 1/e^xNow as x approaches infinity, the sum = 1/∞ = 0Therefore, lim x tends to infinity: x/e^x = 0
an increase in mortgage interest rates
The tide tends to ebb and flow. A point of decline: His fortunes were at a low ebb. The ebb and flow of the water hypnotized me. Suns rise and tides ebb.
The English word 'strength' may refer to human physicalstrength, or to intellectual, moral strength. Two words tend to stress the physical strength. They are 'nervius' and 'vis', in their respective plural forms of 'nervi' and 'vires'. A third word, 'robur', tends to refer to intellectual, moral and physical achievements.
True or false the are of northern Iraq tends to have long hot summers?
false
physical emotional behavioral
Metabolic rates generally start to decline around the age of 30. As we get older, muscle mass tends to decrease and fat mass tends to increase, which can contribute to a decrease in metabolic rate. Regular exercise and a balanced diet can help maintain metabolism as we age.
false
false
False
FALSE.
Generally speaking, false. Red is a colour which tends to stand out, BMW tends to be more of a 'premium' brand of car than is the norm, and convertibles are also distinct from the norm.
It is rapid and episodic.