I want to negate the following statements. Please check if I am doing it correctly.
1)There exists p > 0 such that for every x we have f(x+p)= f(x)
2) For all there exists such that
whenever x and t are in D and satisfy
3)For all there exists such that
whenever and ,
Following are my negated statements
1)For all there exists x such that
2)There exists such that for every
there exists x and t in D such that and
3)There exists such that for every
there exists such that
Please tell me if I am doing it right. I have followed the examples given in my book.
The book is "A Friendly Introduction to Analysis: Single and Multivariable, second edition" Author- Witold Kosmala
If you can suggest a good source on internet ( preferably free) where they discuss
negation of the mathematical statements, please suggest me.