꧁༺aaaaa༻꧂Giải Toán 11 chương 3 Giới hạn. Hàm số liên tục

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Toán 11, giải toán lớp 11 cánh diều | Chương 3 Giới hạn. Hàm số liên tục

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Lý thuyết Hàm số liên tục
I. Khái niệm ꦑ Xem chi tiết
Lý thuyết Giới hạn của hàm số
I. Giới hạn hữu hạn của hàm số tại một điểm 🌳 Xem lời giải

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Lý thuyết Giới hạn của dãy số
1, Giới hạn hữu hạn của dãy số 𒆙 Xem chi tiết
Bài 1 trang 79
Cho hàm số \(y = f(x)\) xác định trên khoảng \((a;b)\) và \({x_0} \in (a;b)\). Điều kiện cần và đủ để hàm số \(y = f(x)\) liên tục tại \({x_0}\) là: ♊ Xem lời giải
Giải mục 1 trang 73, 74, 75
Quan sát đồ thị hàm số (fleft( x right) = x) ở Hình 11. a) Tính (mathop {lim }limits_{x to 1} fleft( x right).) b) So sánh (mathop {lim }limits_{x to 1} fleft( x right)) với (fleft( 1 right).) 📖 Xem lời giải
Giải mục 1 trang 66, 67, 68, 69
Xét hàm số (fleft( x right) = 2x.) a) Xét dãy số (left( {{x_n}} right),) với ({x_n} = 1 + frac{1}{n}.) Hoàn thành bảng giá trị (fleft( {{x_n}} right)) tương ứng. 🍌 Xem lời giải
Giải mục 1 trang 59, 60, 61, 62
Hình 2 biểu diễn các số hạng của dãy số (left( {{u_n}} right),) với ({u_n} = frac{1}{n}) trên hệ trục tọa độ. ☂ Xem lời giải
Bài 2 trang 79
Tính các giới hạn sau: a) (lim frac{{2{n^2} + 6n + 1}}{{8{n^2} + 5}}) b) (lim frac{{4{n^2} - 3n + 1}}{{ - 3{n^3} + 5{n^2} - 2}}); c) (lim frac{{sqrt {4{n^2} - n + 3} }}{{8n - 5}}); d) (lim left( {4 - frac{{{2^{n + 1}}}}{{{3^n}}}} right)) e) (lim frac{{{{4.5}^n} + {2^{n + 2}}}}{{{{6.5}^n}}}) g) (lim frac{{2 + frac{4}{{{n^3}}}}}{{{6^n}}}). ♕ Xem lời giải
Giải mục 2 trang 75, 76
Quan sát đồ thị các hàm số: \(y = {x^2} - 4x + 3\) (Hình 14a); \(y = \frac{{x + 1}}{{x - 1}}\,\,\left( {x \ne 1} \right)\) (Hình 14b); \(y = \tan x\) (Hình 14c) và nêu nhận xét về tính liên tục của mỗi hàm số đó trên từng khoảng của tập xác định. 🐽 Xem lời giải
Giải mục 2 trang 69, 70
Cho hai hàm số (fleft( x right) = {x^2} - 1,gleft( x right) = x + 1.) a) Tính (mathop {lim }limits_{x to 1} fleft( x right)) và (mathop {lim }limits_{x to 1} gleft( x right).) b) Tính (mathop {lim }limits_{x to 1} left[ {fleft( x right) + gleft( x right)} right])và so sánh (mathop {lim }limits_{x to 1} fleft( x right) + mathop {lim }limits_{x to 1} gleft( x right).) c) Tính (mathop {lim }limits_{x to 1} left[ {fleft( x right) - gleft( x 🐬 Xem lời giải

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