Evaluate the following limits (using calculus and showing all your working) 5x4(x-1) (a) limx→00 4x2 (2x³-7) x²-3x6 (b) limxx+2x3+5 2-3 (c) limx-x+2x+1 2x²+3x-2 (d) limx2-x-6 x²-2x-3 (e) limx34x-12 2x²+1 (f) limx+4x+4

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A: Given,            limx→-1 8x3 - 4x2 + 4

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A:

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A: This question is based on product rule of differentiation.

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A:

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A:

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A:

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A: To evaluate limx→0+x3 lnx

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A:

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A: To evaluate the below limit

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A: when putting x infinity, it becomes ∞/∞form. so solving it further to find limit.

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A: Using L'Hospital rule to calculating above.

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A: In this question , we can find the limit .

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A:

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A: Topic - limits

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