When i was at school i used to think that any line that touches a curve at only one point is called as the tangent at that point to the curve! But after reading derivative i think this definition of tangent is not correct at all conditions!
For example,
x-axis cannot be called as tangent at...
Thanks jgens! But the way you explained is little hard for me understand( as i am not used to all mathematics you used here). Its my weakness not yours!:(
Yeah you got my question!
ya, we may get a complicated function of δ in terms of ε like in examples you stated above but in these examples also δ decreases by some amount as ε is decreased by some other amount.isn't it? Logically also, if we want limit of a function f(x) at any point c ( and...
Thanks chiro!
Ya, if they are inversely proportional to each other then as ε→0 ,∂→∞ (because ∂= a/ε) so rather than moving toward any point (say c) the interval around c ,where we want limit if it exists,will move away from c when ε is decreased so i guess ε and ∂ can never be inversely...
While solving problems regarding Epsilon-delta definition of limit from my textbook i found that every answer was like ε= a×∂,where a was any constant.Is it necessary that ε should always be directly proportional to ∂ for limit to exist?? Cant they be inversely proportional? If they can please...
For example ,if u ask what is energy,we can say like its capacity of doing work!for force we can experience it.Like them what does electric dipole moment signify ?? U mean that its just collection of symbols named as electric dipole moment?o_0
What is the physical meaning of electri dipole moment? What does it tell us about the dipole?
Please don't just throw away mathematical equation (p=qd r_hat); help me to get its physical sense!
yoU mean Y viewing from his rest frame B to X (throug a telescope or by any other) will see events occurring simultaneously or at different times in X??
I have already mentioned that the events are simultaneous in X frame(sorry if it wasn't clear).
But how will Y predicts that both events are simultaneous in X frame as he will see that X is moving towards event red with same velocity v relative to him??