I. Evaluate the following limits. sinh r2 → r2 1. lim z→0 sinhr 1

Q: ist . Find lim f(x) x-2+ O A. 1 OB. -2 V OC. 4 . S to .. ut .

A: Given graph:-

Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Estimate the limit numerically. lim e-13 x13 a. O b. 13 О с. O d. 0 O e. 1 8.

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Q: is lim (x – 1) csc TX x→1 :Select one 1 .b - T.C 1 - .d

A:

Q: otf{(16-x*)dx . b. Use the limit definition to find the exact value of

A: Using limit definition calculate given integral

Q: 2. Find the the limit. li -y 1 (tany): 2 Y- 2

A: Given that:                limy→π2-(tan y)π2-y

Q: 5t2+t sin t 5. Find lim t→∞ t2

A:

Q: H.w iF FX)= *+b x<I and Lim F(X) 8,F(-1)=2 Find asb and when X#0

A: Solution:

Q: Find lim,9)→(5,-1) (x³ + 4.x°y – 2xy²) . | 1. 3615 2. 3635 3. 2635 4. 2615 5. 2605

A:

Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

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Q: Let y(t) be the solution of the initial value problem y" – y/ – 20y = 0, y(0) = 2, y'(0) = B.

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Q: In5 x ,2 limx→+00

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Q: Find lim (sin(x))*) x→0+ Select one: O a. | O b. 1 O c. 0 O d. T

A: By definition of limit by putting x=0 on the given function we get the solution

Q: Exc. Eind. Lim (x-1) y3 2

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Q: c) If x(0) = 0.5, then find lim x(t). t→∞

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Q: Find the one-sided limit V4 - y? lim y -2+ y + 2

A: Given: To find

Q: lim 2x 3e +5e 2x e -e -X -X = 5. =

A: limit forms are:-    0/0 , ∞/∞

Q: Int 17/(√₁i + -j+2t²k √ti+ 2 -. Evaluate the limit. lim lim

A: let  N=limt→1[ti+lntt2-1j+2t2k]

Q: Find the value of : sin3x lim x→0 2x

A: This question is based on Limits.

Q: х — 1 If y = lim x→0 Vx + 3 – 2 The value of y = 4. %|

A: Given:

Q: х? — 5х +6. lim x→2 х —2 О а. -1 O b. 0 О с. 4 O d. 2

A: