- Submitted By: faiza30
- Date Submitted: 03/01/2013 8:46 AM
- Category: Miscellaneous
- Words: 279
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Assignment No. 2

Merit No. ______________ Name _______________________

Class ________________ Section ______________________

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Date of Submission: 22 November 2012

Note: Your assignment must be hand written in your own hand writing. Draw the rough graphs neatly with lead pencil. Submit your work on Thursday at start of your class. Attach the problem statement on top of your submission

Benefit from the graph hand outs provided to you on LMS, especially the hand out on of shifting of graphs.

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Q-1 (a) Draw the graph of y=ex

(b) Infer from the shape of your graph, the answers of following questions:

(i) Lim ex as x +∞

(ii) Lim ex as x 0

(iii) Lim ex as x - ∞

(c) Does the limit of ex exist at x=0, x= +∞ , x= -∞ exist?

Give proper reasons of your answers.

(d) Draw the graphs of e(x+2) and ex-2 and comment on nature of this shifting.

Q-2 (a) Draw the rough graph of cosecx from 0 to π

(b) Infer from the shape of your graph, the answers of following questions:

(i) Lim cosecx as x (π/2)+

(ii) Lim cosecx as x (π/2)-

(iii) Does Lim cosecx as x 0 exist ? Give proper reason of your answer

(c) Is cosecx continuous at x=0, x=0.2 ? Give proper reasons of your answers

(d) Hence draw the graph of cosec(x+2), 3 cosec(x) , cosec (x) + 5 and write your

Comments on shifting of these...