[DSE台] 讀M2嘅入黎（不定時更新）

我今日考M2好弱智 我唔記得左1 over 9x^2-12x+4點in 有冇巴打指教下

Factorize

佢一開始條題目係1 over (3x-2)^2 所以我先爆開佢

分數嘢主要兩招，1.sub sin sec tan
2. partial fraction

其實學翻add maths或者pure maths d野仲好
利伸2015dse考過m2而有興趣學

Pure maths撚入嚟跟進下

M2最難唔係概念唔係公式
而係見到條題目你應該要諗起啲乜嘢，點推導到個答案出嚟，尤其definite integration嗰課

呢樣嘢以前pure maths都有，奈何課程完全唔同，calculus幾乎無一條啱DSE人做

其實學翻add maths或者pure maths d野仲好
利伸2015dse考過m2而有興趣學

學過M2可以直接由pure maths開始

以下呢幾課都好重要，值得一睇
- sequence and it's convergence
- sequential limit of a function
- continuity and differentiability
- Mean value theorem
- Riemann series by integration
- integral inequalities

其他analytic coordinate geometry個人覺得純粹係思維訓練，唔算好重要

algebra嗰啲M2都包咗最基本嘅嘢

Hi 我阿妹喺英讀alevel 但好多都唔唔識 可唔可以問你

Hi 我阿妹喺英讀alevel 但好多都唔唔識 可唔可以問你

Hi 我阿妹喺英讀alevel 但好多都唔唔識 可唔可以問你

ok

Hi 我阿妹喺英讀alevel 但好多都唔唔識 可唔可以問你

post得上黎自然有班數撚答

1. expand (1+x)^(2n).sub x=-1-->堆野=0

2.expand (1+x)^n.differentiate both sides wrt x. sub x=0

3,4未諗到

5. 5C3/2^5?

1. expand (1+x)^(2n).sub x=-1-->堆野=0

2.expand (1+x)^n.differentiate both sides wrt x. sub x=0

3,4未諗到

5. 5C3/2^5?

4. (1+x)^2n=(1+x)^n * (1+x)^n
expand both sides respectively
nCi*nCj=nCi*nC(n-i)=(nCi)^2
Consider the coefficient of x^n term in the 2 expansions
2nCn=nCn*nC0+nC(n-1)*nC1+...+nC0*nCn=(nC0)^2+...+(nCn)^2
so the ans = 2nCn

1. expand (1+x)^(2n).sub x=-1-->堆野=0

2.expand (1+x)^n.differentiate both sides wrt x. sub x=0

3,4未諗到

5. 5C3/2^5?

4. (1+x)^2n=(1+x)^n * (1+x)^n
expand both sides respectively
nCi*nCj=nCi*nC(n-i)=(nCi)^2
Consider the coefficient of x^n term in the 2 expansions
2nCn=nCn*nC0+nC(n-1)*nC1+...+nC0*nCn=(nC0)^2+...+(nCn)^2
so the ans = 2nCn

3. expand (1+x)^n
integrate both sides wrt x from x=0 to 1
required ans= (2^(n+1)-1)/(n+1)

利申係當年m1 jj冇讀過al

Undergrad 數學major留名

Try it:

Prove that a x b = b x a
where a,b are real numbers.

留名學嘢
Prove axioms of real number咁把炮

Try it:

Prove that a x b = b x a
where a,b are real numbers.

屌你老母隻烏大龜好撚煩
日撚日係度講埋啲out c野係dse雞post到
得啦 知你威啦

唔只out C咁簡單
啲命題都有問題

1. expand (1+x)^(2n).sub x=-1-->堆野=0

2.expand (1+x)^n.differentiate both sides wrt x. sub x=0

3,4未諗到

5. 5C3/2^5?

out-C.
It plays calculus skills.

out唔out c冇所謂啦其實,只係訓練思考,頭4題m1都有能力做到,第5題直程core都可以考添

1. expand (1+x)^(2n).sub x=-1-->堆野=0

2.expand (1+x)^n.differentiate both sides wrt x. sub x=0

3,4未諗到

5. 5C3/2^5?

out-C.
It plays calculus skills.

out唔out c冇所謂啦其實,只係訓練思考,頭4題m1都有能力做到,第5題直程core都可以考添

認同第5條喺core考得到
之前嗰啲唔會咁考所以對考試嚟講無乜意義

烏大龜好撚煩

就算涉及到嘅所有concept 都係 in-syl, 如果計算太複雜／要轉太多個彎都唔會實際出落dse