The correct option is C 1Let l=lim _θ→π #160;/ 2 #160;π #160;/ 2 θ #160;/θ #160; #160; #160; #160; Put π2 θ=y ∴ l =lim_y→ 0y( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Substitution Method to Remove Indeterminate Form

lim θ→π/ 2 π/...

Question

$lim θ \to \frac{π}{2} \frac{\frac{π}{2} - θ}{cot θ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\infty

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 1
Let $l = lim θ \to \frac{π}{2} \frac{\frac{π}{2} - θ}{cot θ}$
Put $\frac{π}{2} - θ = y$
$∴ l = lim y \to 0 \frac{y}{cot (\frac{π}{2} - y)} = lim y \to 0 \frac{y}{tan y} = 1$

Suggest Corrections

Similar questions

lim θ \to π \frac{π - θ}{\sqrt{cos θ + 1}}

l i m θ \to \frac{π}{2} (sec θ - tan θ)

5 cos 2 θ + 2 {cos}^{2} \frac{θ}{2} + 1 = 0, - π < θ < π

θ =

tan θ - i,

θ \in (- \frac{π}{2}, \frac{π}{2})

r e^{i β}

(r, β)

θ, 0 < θ < \frac{π}{2},

6 \sum m = 1 c o s e c [θ + \frac{(m - 1) π}{4}] c o s e c [θ + \frac{m π}{4}] = 4 \sqrt{2}

\frac{π}{12}

\frac{5 π}{12}

tan θ + cot θ = 4, 0 < θ < \frac{π}{2},

θ = \frac{π}{12}

\frac{5 π}{12}

Join BYJU'S Learning Program