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Problems
lim
x
→
−
1
(
x
4
+
x
2
+
x
+
1
x
2
−
x
+
1
)
1
−
cos
(
x
+
1
)
(
x
+
1
)
2
\lim_{x \rightarrow -1}\left(\frac{x^4 + x^2 + x + 1}{x^2 - x + 1}\right)^{\frac{1 - \cos(x+1)}{(x+1)^2}}
lim
x
→
−
1
(
x
2
−
x
+
1
x
4
+
x
2
+
x
+
1
)
(
x
+
1
)
2
1
−
c
o
s
(
x
+
1
)
…
Mathematics
Problem
lim
x
→
−
1
(
x
4
+
x
2
+
x
+
1
x
2
−
x
+
1
)
1
−
cos
(
x
+
1
)
(
x
+
1
)
2
\lim_{x \rightarrow -1}\left(\frac{x^4 + x^2 + x + 1}{x^2 - x + 1}\right)^{\frac{1 - \cos(x+1)}{(x+1)^2}}
lim
x
→
−
1
(
x
2
−
x
+
1
x
4
+
x
2
+
x
+
1
)
(
x
+
1
)
2
1
−
c
o
s
(
x
+
1
)
is equal to (a) 1 (b)
(
2
/
3
)
1
/
2
(2/3)^{1/2}
(
2/3
)
1/2
(c)
(
3
/
2
)
1
/
2
(3/2)^{1/2}
(
3/2
)
1/2
(d)
e
1
/
2
e^{1/2}
e
1/2
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