MAID Matheatis I Module Tutori DEPARTMENT OF MATHEMATICS, NIT CALICUT MA10ID Mathematios I-First Semester B.Tech (All ) dule I Tutorial Questi L Fad kela for fog and gof, and state the domains of the cmpositions 14 ) /(2)- 2 A positive sber and the limit L of a function f(r) at za ae gven Fid a ber that A-1 --2,0.05 a) lim V2.-0.001 2r+1 a H V5-2s f(2)s V5- for -1SS1, find lim f(x). 4 Given that lim f(x)-2 and lim g(a)-3 Find the limits that exists 2/(a)+3g(a) B) lim 3/(2) + 2g(z) Sf poible, prove that ifast if >1 3r scontino at -1. Determine whether f() is differentiahle at a1 d the vdw the derivative there Sketch the graph of f(a).
MAID Matheatis I Module Tutori DEPARTMENT OF MATHEMATICS, NIT CALICUT MA10ID Mathematios I-First Semester B.Tech (All ) dule I Tutorial Questi L Fad kela for fog and gof, and state the domains of the cmpositions 14 ) /(2)- 2 A positive sber and the limit L of a function f(r) at za ae gven Fid a ber that A-1 --2,0.05 a) lim V2.-0.001 2r+1 a H V5-2s f(2)s V5- for -1SS1, find lim f(x). 4 Given that lim f(x)-2 and lim g(a)-3 Find the limits that exists 2/(a)+3g(a) B) lim 3/(2) + 2g(z) Sf poible, prove that ifast if >1 3r scontino at -1. Determine whether f() is differentiahle at a1 d the vdw the derivative there Sketch the graph of f(a).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:MAID Mathematics I
Module Tutorial
DEPARTMENT OF MATHEMATICS, NIT CALICUT
MA00ID Mathematios I- First Semester B.Tech (All s)
Ndule I Tutorial Questions
1Fnd formlas for fog and gof, and state the domains of the compositio
f-V-3s(2)-V+3
142
) S(x) =
1-2
2 A positive uber e and the limit L of a function f(z) atza ae given Fiad a smber su that
A-1
--2,0.05
) lim v2, e0.001
712241
a f V5-2 s f(x) s V5-7for-1SS1, find lim f(x).
4 Given that lim f(z)= 2 and lim g(z)-3. Find the limits that exists
m3/(2)-g(a)|
2/(2)+3g(a)
B) lim
3/(a) + 2g(z)
&If poible, prove that
++1.
if aS1
3r.
s contino at z 1. Determine whether f() is differentiable at LE d the vade f the
derivative there Sketch the graph of f(a)
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