lim x 0 sqrt 1+x + sqrt 1-x 3-x
Answers
Answered by
1
Answer:
lim
x
3
1+x
3
−
1−x
3
=
x⟶0
lim
x
3
1+x
3
−
1−x
3
×
1+x
3
+
1−x
3
1+x
3
+
1−x
3
=
x⟶0
lim
x
3
(
1+x
3
+
1−x
3
)
1+x
3
−1+x
3
=
x⟶0
lim
1+x
3
+
1−x
3
2
=
1+1
2
=1
Step-by-step explanation:
Answered by
1
Answer:
Given, limx→01+x3−−−−−√−1−x3−−−−−√x2=limx→01+x2−−−−−√−1−x3−−−−−√x2.1+x3−−−−−√+1−x3−−−−−√1+x3−−−−−√+1−x3−−−−−√
=limx→0(1+x3)−(1−x3)x2(1+x3−−−−−√+1−x3−−−−−√)
=limx→02x3x2(1+x3−−−−−√)+1−x3−−−−−√
=limx→02x1+x3−−−−−√+1−x3−−−−−√
=0
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