limits and continuity

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18 Terms

1

lim x→0 (sinx)/x

1

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2

lim x→0 (1-cosx)/x

0

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3

lim x→0 sin(ax)/ax

1

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4

lim x→0 ax/sin(ax)

1

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5

lim x→0 sin(ax)/bx

a/b

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6

lim x→0 ax/sin(bx)

a/b

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7

lim x→0 x/sinx

1

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8

lim x→0 sin(ax)/sin(bx)

a/b

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9

lim x→0 tan(ax)/ax

1

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10

lim x→0 ax/tan(bx)

a/b

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11

lim x→0 ax/tan(ax)

1

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12

lim x→0 tan(ax)/tan(bx)

a/b

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13

lim x→0 tan(ax)/bx

a/b

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14

lim x→0 sin(ax)/tan(bx)

a/b

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15

lim x→∞ [1+1/x]^x

e

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16

lim x→0 (1+x)^(1/x)

e

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17

lim x→∞ [1+1/f(x)]^f(x)

e

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18

lim x→0 (1+f(x))^(1/f(x))

e

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