In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 0 ; tableof values: x –0.1 –0.01 –1.001 –0.0001 0 0.0001 0.001 0.01 0.1 f ( x ) –1.0303 –1.00303 –1.0003 –1.00003 0 1.00003 1.0003 1.00303 1.0303
In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 0 ; tableof values: x –0.1 –0.01 –1.001 –0.0001 0 0.0001 0.001 0.01 0.1 f ( x ) –1.0303 –1.00303 –1.0003 –1.00003 0 1.00003 1.0003 1.00303 1.0303
Solution Summary: The author explains that the value of undersetxto 0-mathrmlimf(x-) from the providing table is 1.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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