# math

lim (4sin2x - 3x cos5x)/(3x/2 +(x^2)cscx )
x->0

1. 👍 0
2. 👎 0
3. 👁 195

1. 👍 0
2. 👎 0
2. L'Hoptial's rule applies to this.

I get for the numerator..

8cos2x - 3cos5x - 15x sin5x

and the denominator...
3/2 + 2x csc x + x^2 d cscx/dx

so the limit looks to be
5/ (3/2) = 10/3

check me.

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley

## Similar Questions

1. ### Calculus

For the function f whose graph is given, state the following (a) lim x → ∞ f(x) (b) lim x → −∞ f(x) (c) lim x → 1 f(x) (d) lim x → 3 f(x) (e) the equations of the asymptotes (Enter your answers as a comma-separated

2. ### Calculus

Prove the identity cscx+cotx-1/cotx-cscx+1 = 1+cosx/sinx

3. ### PreCalculus

Sin5x cos2x + cos5x sin2x=

4. ### No one is helping me :/ ??

If y = 3 is a horizontal asymptote of a rational function, which must be true? lim x→ 3 f(x) = 0

1. ### Math(calculus)

Evaluat d 4lowing1.lim x/|x| x-->0 2.lim x->1 sqrt(x^2+2- sqrt3)/x-1 3.lim n->~ f(n)=(1+1/n)^sqrtn 4. limx->0 f(x)= (12^x-3^x-4^x+1)/xtanx 5. Lim x->3 (x^n-3^n)^n/(n-3)^n

2. ### Calculus

Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true? Which must be false? Justify your answers. (a) lim of f(x) as x approaches a = f(a) (b) If the lim of

3. ### Calculus

integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...

4. ### calculus

Lim sin2h sin3h / h^2 h-->0 how would you do this ?? i got 6 as the answer, just want to make sure it's right. and i couldn't get this one (use theorem 2) lim tanx/x x-->0 and also this one (use squeeze theorem to evaluate the

1. ### Calculus

Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞. f(x) = { 2 - x if x ≤ 3 { -1 + 3x - x^2 if x > 3 a) lim 3+ f(x) x->3 b) lim 3- f(x) x->3 c) lim f(x) x->3 d) lim ∞ f(x) x->3

2. ### Calculus

Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x>0... Should i use the formula e= lim as x->0 (1+x)^(1/x) or e= lim as x->infinity (1+1/n)^n Am i able to substitute in x/n for x? and then say that e lim x ->0

3. ### Math

True or False If lim x→∞ f(x) = 1and lim x→∞ g(x) = ∞,then lim x→∞ [f(x)]^g(x) = 1.

4. ### math

value of expression (cos5x + cos3x)/ (sin5x - sin3x) where x = (3.14/8)