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Left-handed limit
We say
provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely minor and actually might be missed if you aren't paying attention. The only difference is the bit i.e. under the "lim" part of the limit. For the right- handed limit now we have x → a- (note the "+") which means that we know will only look at x>a. Similarly for the left-handed limit we have x → a- (note the "-") that means that we will only be looking at x Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
Note that the change in notation is extremely minor and actually might be missed if you aren't paying attention. The only difference is the bit i.e. under the "lim" part of the limit. For the right- handed limit now we have x → a- (note the "+") which means that we know will only look at x>a. Similarly for the left-handed limit we have x → a- (note the "-") that means that we will only be looking at x Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
2=42gf
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
Explain Multigrade Equation?
Q. lim x tends to 0 (5 tanx sinx upon x square) here ( ) this bracket indicates greatest integer function Ans: You can calculate the limit of this function using basic concept of
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Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of
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Equations of Planes Earlier we saw a couple of equations of planes. Though, none of those equations had three variables in them and were actually extensions of graphs which we
tanx dx
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