A sequence converges if it has a finite limit, while it diverges if it does not. For a series, if it converges, the limit of its terms approaches zero as n approaches infinity. However, a limit of zero does not guarantee convergence; it only indicates a possibility. If the limit of the terms does not equal zero, the series diverges. The definitions of convergence and divergence are fundamentally tied to the existence of limits.
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RadiationX
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In general, is it true that if a sequence has a limit that it converges and if it does not have a limit that it diverges?when i say have a limit i mean that the limit exists.
Kindly see the attached pdf. My attempt to solve it, is in it.
I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction.
I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook.
Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water.
I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Does the direction my second finger points in indicate the literal direction of magnetic field at that point in space, or do I need to further use right hand rule or something for a circular path around the finger