5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim 2y³-11y² +10y +8 y-43y³-17y² + 16y + 16

Q: (a) f : R² → R, f (x, y) = V1+x²y²-1 x2+y² (0,0) (b) ƒ : R² → R, f (x, y) = sin(x*y²) (x²+y²)² » (2²…

A: (a) Given fx,y=1+x2y2-1x2+y2,  0,0. Investigate the limit of fx,y at the point 0,0.

Q: e the exact value of the function for the given x-value without using a calculator. ( ) f(x) = f(x)…

A:

Q: х+3if x1 6. lim x→1 f(x) f(x)

A:

Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

Q: 18. lim 2+3 √3x + 16-5 x - 3

A:

Q: Find the limit and discuss the continuity of the function.

A: The function is given as,

Q: What is a limit, and how is it used to describe the behavior of a function as the input approaches a…

A: the answer is in step2.

Q: Evaluate the limit a x approaches positive infinity

A:

Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: How do we identify if the limit of a function exists or not?

A: Limit, depends on the possibility of closeness, utilized principally to allocate qualities to…

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation.

Q: 2sin?y 4) lim y→180° 1-cosy

A: Apply the limits and evaluate

Q: Define the term Limit of a Function?

A: The limit of function can be stated as the limit of a function is the appraoched value of the…

Q: 1 - lim h→0 r+h ん (Note, the variable for the limit is h, so a is treated as a constant.)

A:

Q: g4 – 2y² f (x, y) as (x, y) → (0,0 x2 + y2

A: Given that: f(x, y)=x4-2y2x2+y2

Q: (d) lim f(x X →+00

A:

Q: 1 -1 lím (x,y)→(0,0) tan x² + y?

A:

Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x<22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing…

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: x² -81 lim X-9 Jx -3 1 lim x→0 X

A: