1) Find lim 1+ -) (if it exists)

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: 3n Find lim,→0 (1+ )'

A: Here,

Q: 4-4e* lim xex Find: х-0 хех

A:

Q: 2) lim (+5)a00 (-2a+1)50

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine lim X- • ot s/x 7 Sinx

A: limx→0+5x-7sinx

Q: 3 show that if lin N-)P number . an = a, then lim 29 = 2a for all real 3-)

A: Given : limn→∞ an=a To prove : limn→∞  λan=λa.

Q: Prove that lim 1 H 101H 818

A: We have to prove that  limx→0- 1x → -∞.

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: 5x"+x lim メ→ -0 -8

A: To evaluate: limx→-∞5x4+xx2-8

Q: x²+3x+2 b) lim x-1 x²-x-2

A: given limit

Q: lim x-0+ \x 1 = lim x2, 1 lim x0+ x2 1 = +0 - (+0) = 0 - - - -- %3D x-0+ x

A: It is infinity minus infinity type of indeterminate form.    To solve it first convert it into 0/0…

Q: date let fcx7= X-3x+2, find al lim fux) X-72 bllim fux) c) lim fox) (1) X-72

A:

Q: 8) lim- x+1 2x²+2x+1

A:

Q: Evaluate 1- lim sırx

A:

Q: d) (x+27) -3 X lim-

A:

Q: 8.) lim (-1+ x² – x³ + 3x*) 9.) x3-2x-1 lim x-3 co-X 2x2+3x+1 lim X+ 3x-5x+2 10.)

A:

Q: In(2+x) lim, x+-1 X+1

A:

Q: 3x* - 4x +1 lim (x -1)? P)

A:

Q: Show that lim n2 +00

A:

Q: Show that lim 1-4 11

A:

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: If the lim v 25- x2 exists.Find a . A) [-5,5) B) (-5,5] C) [-5,5] D) (-5,5)

A:

Q: Find: x3-x2+x-1 a) lim x-1 x+lnx-1

A: