Question

y 5 4 3 2 1 x -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5 Find the following. (If the limit is infinite, enter '?' or '-?', as appropriate. If the limit does not otherwise exist, enter DNE.) (a) $\lim_{x \to 1^{-}} f(x)$ 3 (b) $\lim_{x \to 1^{+}} f(x)$ 0 (c) $\lim_{x \to 1} f(x)$ 3 (d) $\lim_{x \to 4} f(x)$ DNE (e) $f(4)$ -2

          y
5
4
3
2
1
x
-2
-1
1
2
3
4
5
-1
-2
-3
-4
-5
Find the following. (If the limit is infinite, enter '?' or '-?', as appropriate. If the limit does not otherwise exist, enter DNE.)
(a) $\lim_{x \to 1^{-}} f(x)$
3
(b) $\lim_{x \to 1^{+}} f(x)$
0
(c) $\lim_{x \to 1} f(x)$
3
(d) $\lim_{x \to 4} f(x)$
DNE
(e) $f(4)$
-2
        
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y
5
4
3
2
1
x
-2
-1
1
2
3
4
5
-1
-2
-3
-4
-5
Find the following. (If the limit is infinite, enter '?' or '-?', as appropriate. If the limit does not otherwise exist, enter DNE.)
(a) limx → 1^- f(x)
3
(b) limx → 1^+ f(x)
0
(c) limx → 1 f(x)
3
(d) limx → 4 f(x)
DNE
(e) f(4)
-2

Added by Nichole N.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the following. (If the limit is infinite, enter 'infty' or '-infty', as appropriate. If the limit does not otherwise exist, enter DNE.) (a) lim_{x o 1^-} f(x) (b) lim_{x o 1^+} f(x) (c) lim_{x o 1} f(x) (d) lim_{x o 4} f(x) (e) f(4) Find the following. If the limit is infinite, enter 'infty' or '-infty' as appropriate. If the limit does not otherwise exist, enter DNE. (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f(x) (e) f(4)
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Transcript

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00:01 We have limit x tends to minus 2 minus x plus 1 times mod of x plus 2 divided by x plus.
00:17 Now we can see that the given limit is minus 2 minus.
00:23 So the modulus function will be solved as this equals limit x tends to minus 2 minus minus of x plus 1 times x plus 2 divided by x plus.
00:41 Now this x plus 2 will get cancelled out by this x plus 2 and this equals limit h tends to 0 minus of minus 2 minus h plus 1...
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