Study this functicu Pex) =x² is it positive of negative o else • By using the first identification of the end of th function. Prove that Lim ( 3×-2)=4

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: a' + b' + c\!/r 9" - Vabe. Geometric mean Prove that lim 3 where a, b, and c are positive real…

A: Let Take natural logarithm on both sides.

Q: please show the indeterminate form and solve it by ( L'hopital's rule )

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Q: Suppose lim f1x2 xSa o and lim glx2 = ". Prove that xSa %3D lim 1f1x2 + glx22 xSa

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Q: Use the definition of limit to prove lim = 2x3 = 7. x-5

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Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: Prove using the formal definintion of a function that: limxto2 (5x + 5) = 15

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Q: Find all values of p so that lim x->2 (px^2+ 15x+ 15 +p/x^2+x-2 )exists

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Q: It alo, byo, show that lim (V(N+ a)(N+b)). -N

A: for a>0,b>0

Q: Suppose the sequence of numbers o, ₁,...,,... satisfies the difference equation 2k+1=0k+ where a and…

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Q: 8x³ – 5x? +17 lim 3 6x' + 2x² – 4x X00

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Q: Use algebra to evaluate the following limits. x-6 lim a) x6 3x² - 12x - 36 lim b) x-0 x² + 2x² + 7x…

A: Make the factor or cancel the term for finding the limits .