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Mathematics
Mathematics
Problem
Which of the following limits equals
1
1
1
? a)
lim
x
→
0
1
−
cos
(
7
x
)
x
2
\displaystyle \lim_{x\to 0} \frac{1-\cos(7x)}{x^{2}}
x
→
0
lim
x
2
1
−
cos
(
7
x
)
b)
lim
x
→
0
1
−
cos
(
7
x
)
x
\displaystyle \lim_{x\to 0} \frac{1-\cos(7x)}{x}
x
→
0
lim
x
1
−
cos
(
7
x
)
c)
lim
x
→
0
sin
(
7
x
)
7
x
\displaystyle \lim_{x\to 0} \frac{\sin(7x)}{7x}
x
→
0
lim
7
x
sin
(
7
x
)
d)
lim
x
→
0
sin
(
7
x
)
x
\displaystyle \lim_{x\to 0} \frac{\sin(7x)}{x}
x
→
0
lim
x
sin
(
7
x
)
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