Chapter Study

Bsc CSIT Semester 1 – Mathematics I – Unit 2: Limits and Continuity (4 Hrs.)

Comprehensive questions and detailed answers for Unit 2: Limits and Continuity (4 Hrs.). Perfect for exam preparation and concept clarity.

2
Questions
15
Marks
Back to All Chapters
(a) Sketch the graph of f(x)=x2. Find its domain and range.\quad (a)\ \text{Sketch the graph of } f(x)=x^2. \text{ Find its domain and range.} (b) Evaluate: lim⁡x→1sin⁡−1 ⁣(1−x1−x)\quad (b)\ \text{Evaluate: } \lim_{x \to 1} \sin^{-1}\!\left(\frac{1 - \sqrt x}{1 - x}\right)
HardNumerical10 marks2081(TU Final)

If f(x,y)=xyx2+y2f(x,y) = \frac{xy}{x^2 + y^2}, does lim⁡(x,y)→(0,0)f(x,y)\lim_{(x,y)\to(0,0)} f(x,y) exist? Justify.

MediumNumerical5 marks2081(TU Final)
Showing 2 questions

Sample Questions

\[ \quad (a)\ \text{Sketch the graph of } f(x)=x^2. \text{ Find its domain and range.} \] \[ \quad (b)\ \text{Evaluate: } \lim{x \to 1} \sin^{-1}\!\left(\frac{1 - \sqrt x}{1 - x}\right) \]

Marks: 10Chapter: Unit 2: Limits and Continuity (4 Hrs.)

If \( f(x,y) = \frac{xy}{x^2 + y^2} \), does \( \lim{(x,y)\to(0,0)} f(x,y) \) exist? Justify.

Marks: 5Chapter: Unit 2: Limits and Continuity (4 Hrs.)

Unit 2: Limits and Continuity (4 Hrs.) chapter questions with answers for Mathematics I (Bsc CSIT Semester 1). Prepare for TU exams with our comprehensive question bank and model answers.