\[ \quad (a)\ \text{Sketch the graph of } f(x)=x^2. \text{ Find its domain and range.} \] \[ \quad (b)\ \text{Evaluate: } \lim{x \to 1} \sin^{-1}\!\left(\frac{1 - \sqrt x}{1 - x}\right) \]
Marks: 10Chapter: Unit 2: Limits and Continuity (4 Hrs.)
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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.
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HardNumerical10 marks2081(TU Final)
If , does exist? Justify.
MediumNumerical5 marks2081(TU Final)
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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.)