Using the squeeze theorem, find the value of lim,0 x² sin=) O 1 O -1 O does not exist

Q: acosx+bx sinx-5 (ii) Find the values of a and b so that lim exists and finite

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Find lim (1 + sin5x) cot3x x-0+

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Q: - What is lim tan(x)? Why? 2

A: To Find: We need to calculate the limit of tan(x) when x approaches (pi/2) from the positive or…

Q: Determine lim X- • ot s/x 7 Sinx

A: limx→0+5x-7sinx

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Q: Use the Squeeze Theorem to fĩnd lim In(x + 1) cos(-)

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Q: USE SQUEEZE Theorem do poho Lim I'm x² esin(x) и х 0+X

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Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: B: prove that lim cos0 = 1 ||

A: We have to prove that

Q: 3. Find lim x sin II

A: Given limx→∞xsin(πx)

Q: lim (1+ tan 3x)*

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Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: Use the SQUEEZE THEOREM to evaluate lim x →+∞ 3 sech x+sin² x In x

A: Given,         limx→∞ 3sechx+sin2xlnx.

Q: Show that lim x|cos )= = 0.

A:

Q: (d) Apply the Squeeze Theorem to verify that lim x² sin I-0 (-1). = 0.

A: SQUEEZE THEOREM-:  Let  f , g and h be functions defined on an interval I . Suppose that for every x…

Q: Find Lim o'sin to Sin 02

A: We use the properties of limit and L'Hopital's Rule to find the limit in the given question.

Q: sin(6x) Evaluate: lim 1-oL sin( 4x) A B0 1

A: we have given that limx→0[sin(6x)/sin(4x)]

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .