Determine the following limit, using oo or - 0o when appropriate, or state that it does not exist. X+4 lim Vx-3

Q: 4 lim X-0 x2 2 1-cosx

A: Given- limx→04x2-21-cosx To Find- The value of the limit.

Q: For which sign, + or −, does the following limit exist?

A: First find the limit for the + sign. if the expression is 00 then apply l' hopital rule.…

Q: Find the limit. lim X+00 e

A: This problem can be solved by the L-hospitals rule as the given expression is in the form of ♾️/♾️

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – o. 18z (a) lim + 3 – 2x 18x…

A: a)limx→3+218x3-2x limx→3+218x3-2xAs ,x→32+,(3-2x)→0-And,a0-→-∞⇒limx→3+218x3-2x=-∞

Q: Find the indicated limit, if it exists x³ + 343 lim x + + ∞ x – 7x + 49

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Use L'Hospital to determine the following limit. Use exact values. In x lim x →1 5ln æ -

A: Given limit: limx→1ln x5ln x-x   L'Hospital's Rule: Take the derivative of numerator and denominator…

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) X + 4…

A:

Q: Find the following limit or state that it does not exist. 1 - 2+h lim 2 h→0

A: Given,           limh→012+h-12h

Q: tan x lim 4-V lim x-16 16x-x² x² -9 lim x-3 x²+2x-3

A: Find the value of limit limx→πtanxx. limx→πtanxx=tanππ             =0π            =0 Thus, the value…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: We have to evaluate limx→∞9−ex9+2ex Take common factor ex from both denominator and numerator…

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – o. 20x (a) lim 3 + 3 — 8х 20x…

A: the given limits are: a  limx→38+20x3-8x(b) limx→38-20x3-8x we have to evaluate the given limits.

Q: Find the following limits if they exist. lim (x+ e* ) b)

A: We have to find the limit: limx→0x+ex1x This is 1∞ indeterminate form. We know the formula for 1∞…

Q: Evaluate the following limit: lim x→2+ x – 2 O No answer text provided. |- 1/2

A:

Q: Consider the following limit. x – 6 lim 146 r2 – 36

A: Complete the table using x values

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) 7x² – 1 lim x + 4

A:

Q: Evaluate the following limits. If needed, enter oo for oo and oo for – o∞. 11 + 8x² (a) lim x → 00 4…

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Q: Find the following limit: x2 – 1 lim I+1 +4

A: We use the concept of right hand limit in this question.

Q: Evaluate the following limits. If needed, enter INF for o and MINF for -o. (a) lim (Vx2 + 9x + 1 (b)…

A: To evaluate the given limits.

Q: lim (1+e 9)º

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Q: lim x/(x-1) x→1+

A:

Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A:

Q: Determine the following limit. V4+x – 2 lim0

A: We find limit of given function

Q: Evaluate the following limits, where c and k are constants.

A: To Evaluate: limx→25x-632

Q: Use L'Hospital to determine the following limit. Use exact values. In x lim 3lnz

A:

Q: Evaluate the following limits. If needed, enter INF for o and MINF for - (а) lim (væ² x² – 7x +1 –…

A: (a)

Q: Evaluate the following limit. lim (Væ² + x – x) IH00

A: Given limit, limx→∞x2+x-x

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -o. 15x (a) lim - 2x 3 + 15x…

A: Use left hand and right hand limit concept

Q: Determine the following limits, using o or - o0 when appropriate, or state that they do not exist. -…

A:

Q: Find the values of the following limits : V4+h 1-limn-0 2 - h

A:

Q: 4 - I lim |4 – r| I »4+

A: To evaluate the given limit

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

A: a limx→∞ 16x2+5/7x-5 divide above and below by x limx→∞ 16 + 5/x2/(7 -5/x) now apply the limits 16…

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

A:

Q: 5х lim V3x+9–3 x→0

A:

Q: Use L'Hospital to determine the following limit. Use exact values. In x lim glnz

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Q: Find the following limits if they exist. lim(xvx* +1-x*) lim( x+e*

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Q: Find the following limits when they exist:   1. lim g(x)   x to 3+

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Q: Find the following limit: Vx² +3 - 2 lim X-1 x? - 1

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Evaluate the following limit, if possible. If the limit does not exist, type DNE. 4-x 4 lim 42-√√

A: Given limit limx→44-x2-x. The objective is to evaluate the limit.

Q: 7x³ - 7x lim x-1 2x² + 2x

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Q: Vx+3- V3 lim c)

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for o, and DNE if the limit does…

A:

Q: Find the following limit: x3 – 14x? + 42x – 20 lim x → 10 x – 10 Answer:

A: Given that

Q: Use the given graph to find the indicated limit. lim f(x)

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Q: х —х-2 15. lim x→2 x² -4

A:

Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim_(x². + +x+5)…

A: We have to find the one side limit

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.