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English mathematical analysis
(The missing formula can be seen in the picture)

That? General? Form? Yes? Rach & ampocirc of Pitard? Rules? Cover? A lot? More? Case. ? Hypothetically? That? c? And then what? l? Is it? Extension? Real? Numbers? (that is? Real? Numbers? Positive? Infinite,? Or? Negative? Infinity). ? Hypothetically? That? also

or

And then what? Hypothetically? that

then

That? Limit? May? What else? Is it? One-sided Limit.

Prove: Zero? Is it over? zero

Hypothetically? That? c? And then what? l? Is it? Limited? And then what? And then what? g? Convergence? Where to? Zero.

First,? Definition? (or? Redefine) (c)? =? 0? And then what? g(c)? =? 0.? This? Manufacturing? And then what? g? Continuous? Where is it? c,? But? Is it? Isn't it? Change? That? Limit? (Since,? By who? Definition? That? Limit? Is it? Isn't it? Shit? Open? That? Value? Where is it? That? Point? c)。 ? Since it exists? There? Is it? Ann? Interval? (c? δ,? c? +? δ)? Like this? That? For what? All of them? x? Are you online? That? Interval? With what? That? Is it possible? Exceptions? Yes? x? =? c,? Boss and? g'(x)? Existence? And then what? g'(x)? Is it? Isn't it? Zero.

What if? x? Is it? Are you online? That? Interval? (c,? c? +? δ),? then what That? Mean? Value? Theorem? And then what? Cauchy's? Mean? Value? Theorem? Both? Apply? Where to? That? Interval? 【c,? x]? (What else? Answer? Similar? Statement? Keep? For what? x? Are you online? That? Interval? (c? δ,? c))。 ? That? Mean? Value? Theorem? Hint? That? g(x)? Is it? Isn't it? Zero? (since? Or what? There? Will it? Is it? Answer? y? Are you online? That? Interval? (c,? x)? With what? g'(y)? =? 0).? Cauchy's? Mean? Value? Theorem? Now? Hint? That? There? Is it? Answer? Point? ξx? Are you online? (c,? x)? Like this? that

What if? x? Method? c,? then what ξx? Method? c? (by? That? Squeeze? Theorem? ).? Since it exists? It? Follow? that

[editor]? Infinite? Is it over? infinite

Hypothetically? That? l? Is it? Limited? c? Is it? Positive? Infinite,? And then what? And then what? g? Convergence? Where to? Positive? Infinite.

For what? Every one? ε? & gt? 0,? There? Is it? Ann? m? Like this? that

That? Mean? Value? Theorem? Hint? That? What if? x? & gt? m,? then what g(x)? ≠? Grams (meters)? (since? Or what? There? Will it? Is it? Answer? y? Are you online? That? Interval? (m,? x)? With what? g'(y)? =? 0).? Cauchy's? Mean? Value? Theorem? Application? Where to? That? Interval? 【m,? x]? Now? Hint? that

Since? Convergence? Where to? Positive? Infinite,? What if? x? Is it? Large size? That's enough? Then (x)? ≦(m)。 ? write

now

For what? x? Full? Large size? This? Is it? Less? Than? ε? And then what? therefore