2. Evaluate lim,.

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A: 7) Given- limx→5-6x-52 To Find- The value of the above expression.

Q: Lim 9. x + 4

A:

Q: Show that

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Q: Investigate:

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Q: Evaluate the limit: 12x lim

A: use the l hospital rule to evaluate it

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Q: Evaluate the lim lim

A: We will find the limits.

Q: Evaluate the following limits

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Q: Compute lim 1+-

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Q: ,2 30. lim x In x

A: Topic = Limits

Q: 1. Use the e-definition to show that lim 1)- 3. n+1

A:

Q: Prove the statement using the ε, ?  definition of a limit.

A:

Q: limz 0 |z|

A: For the given function  limz→0 Z|Z|

Q: Evaluate using substitution.

A: limx→-π23sin x

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A:

Q: 9:Use quantifiers to express the statement that lim an=

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A:

Q: (a) Evaluate lim, »∞ 3z+21 e 16

A: Given,          limx→∞3x2+2xex+6

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Q: 4. Use the &, 8 definition to prove that lim (4x-1) = -9.

A:

Q: Evaluate the limit: lim, 0* ,7x

A: Given that limx→0+x7x. Let y=x7x. This implies that, lny=7xlnxlny=lnx17xlimx→0+lny=limx→0+lnx17x=-∞∞…

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A: Given limx→2x2-4x2+4

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.