Which of the following limit theorem used for transcendental functions is wrong? 1 O lim COS T | O lim sin x = 1 e O lim 1 | O im (In x) = 8.

Q: Which of the following limits will be indeterminate/undefined value when direct substitution is…

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Q: Evaluate the limit a x approaches positive infinity

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Q: St – t² 0 1 9. (e-t 0 2

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Q: Show that ( if f is decreasing is riemann)

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Q: What is the Limit of identity function?

A: we have to tell what is the limit of an identity function.

Q: Describe the three theorems of limit?

A: we have to write the theorem of the limit. Three theorems are given in the next step.

Q: Use the definition of the limit of a function of two variables to verify the limit.

A: Verify the limit limx,y→a,by=b

Q: Give an example of a function R -> R that is discontinuous with the usual topology but is continuous…

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: a. f(x) x-2 x-7 b.f(x) = r2+1

A: (a) the given function is f(x)=1x-2 the function is continuous in interval [a,b] if it is continuous…

Q: 5- x2 37. lim In 1 + x

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Q: Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y…

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Q: How do I evaluate the limit of this function? I am currently in Calculus one and going through the…

A: If you replace x with zero, then you will get a 0 by 0 form here. In these kind of cases, we apply…

Q: si (z,y) # (0,0) f(r, y) = si (7,y) = (0,0) %3D

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Q: х* — 5х — 5 f(x) х - 8

A: Consider the graph for the function:

Q: Use the definition of continuity to show that f is continuous at 2: f(x) = 3x² – 2x + 1.

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